Enthalpy and the Mechanics of AdS Black Holes

Abstract

We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler's theorem. The key new ingredient in the constructions is a two-form potential for the static Killing field. Surface integrals of the Killing potential determine the coefficient of the variation of the cosmological constant in the first law. This coefficient is proportional to a finite, effective volume for the region outside the AdS black hole horizon, which can also be interpreted as minus the volume excluded from a spatial slice by the black hole horizon. This effective volume also contributes to the Smarr formula. Since the cosmological constant is naturally thought of as a pressure, the new term in the first law has the form of effective volume times change in pressure that arises in the variation of the enthalpy in classical thermodynamics. This and related arguments suggest that the mass of an AdS black hole should be interpreted as the enthalpy of the spacetime.

21 pages; v2 references added

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Cited by in corpus (913)

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• Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter
• Thermodynamics of hairy black holes in Lovelock gravity
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• On thermal molecular potential among micromolecules in charged AdS black holes
• Strong energy condition and complexity growth bound in holography
• Dyonic Black Hole and Holography
• Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes
• P-V criticality in AdS black holes of massive gravity
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• Black hole thermodynamics: No inconsistency via the inclusion of the missing P-V terms
• Mass and Free Energy of Lovelock Black Holes
• Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Thermogeometric description of the van der Waals like phase transition in AdS black holes
• Critical Phenomena of Charged de Sitter Black Holes in Cavities
• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Reentrant phase transition of Born-Infeld-AdS black holes
• Reverse Hawking-Page Phase Transition in de Sitter Black Holes
• Universal topological classifications of black hole thermodynamics
• Lovelock black holes with maximally symmetric horizons
• Accelerating Black Hole Chemistry
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Effects of dark energy on the efficiency of charged AdS black holes as heat engine
• Entanglement equilibrium for higher order gravity
• Universality of P-V Criticality in Horizon Thermodynamics
• Thermodynamic geometry of black holes in f(R) gravity
• Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt
• Mass function and particle creation in Schwarzschild-de Sitter spacetime
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Thermal analysis and Joule-Thomson expansion of black hole exhibiting metric-affine gravity
• Multi-critical Points in Black Hole Phase Transitions
• Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives
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• Topology of nonlinearly charged black hole chemistry via massive gravity
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• Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
• Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
• Phase structure of the Born-Infeld-anti-de Sitter black holes probed by non-local observables
• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• Nonsingular black hole chemistry
• A note on entropy of de Sitter black holes
• Generalized free energy landscape of black hole phase transition
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Thermodynamic stability of black holes surrounded by quintessence
• Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space
• Complexity of Holographic Superconductors
• Vortex/anti-vortex pair creation in black hole thermodynamics
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• NUTs and bolts beyond Lovelock
• The Vector Volume and Black Holes
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• Critical behavior of Born-Infeld dilaton black holes
• First law and Smarr formula of black hole mechanics in nonlinear gauge theories
• Hairy black holes in cubic quasi-topological gravity
• Charged AdS black hole heat engines
• Black hole thermodynamics and heat engines in conformal gravity
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• Holographic entanglement chemistry
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• Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
• Joule-Thomson expansion of the Bardeen-AdS black holes
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• Holographic thermodynamics of rotating black holes
• Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
• Extended black hole thermodynamics from extended Iyer-Wald formalism
• Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity
• Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole
• Continuous phase transition and critical behaviors of 3D black hole with torsion
• A Cardy-like formula for rotating black holes with planar horizon
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Thermodynamic criticality of d-dimensional charged AdS black holes surrounded by quintessence with a cloud of strings background
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• Heat engine in the three-dimensional spacetime
• Cosmography of KNdS Black Holes and Isentropic Phase Transitions
• Thermodynamics of third order Lovelock adS black holes in the presence of Born-Infeld type nonlinear electrodynamics
• Nonlinearly charged AdS black holes, extended phase space thermodynamics and Joule-Thomson expansion
• 4D-EGB Black Holes in RPS Thermodynamics
• Black Holes in Six-dimensional Conformal Gravity
• Smarr Formula for Lovelock Black Holes: a Lagrangian approach
• Van Der Waals Black Holes in $d$ dimensions
• On the thermodynamics of the Hayward black hole
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Critical phenomena and chemical potential of charged AdS black hole
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole
• Holographic Heat Engines, Entanglement Entropy, and Renormalization Group Flow
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• Contact geometry and thermodynamics of black holes in AdS spacetimes
• Circular orbit of a test particle and phase transition of a black hole
• On Universal Constants of AdS Black Holes from Hawking-Page Phase Transition
• DC Conductivities with Momentum Dissipation in Horndeski Theories
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• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Thermodynamic Topology of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
• Holographic Complexity and Thermodynamic Volume
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• A note on Maxwell's equal area law for black hole phase transition
• Notes on thermodynamics of super-entropic AdS black holes
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• On the throttling process of the Kerr-Newman-anti-de Sitter black holes in the extended phase space
• A Note on Critical Nonlinearly Charged Black Holes
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• Effects of a cloud of strings on the extended phase space of Einstein-Gauss-Bonnet AdS black holes
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• Extended phase space thermodynamics and $P-V$ criticality: Brans-Dicke-Born-Infeld vs Einstein-Born-Infeld-dilaton black holes
• Continuous phase transition and microstructure of charged AdS black hole with quintessence
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• Topological classes of higher-dimensional black holes in massive gravity
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• Thermodynamic phase transition of Euler-Heisenberg-AdS black hole on free energy landscape
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
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• Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
• Microstructure of charged AdS black hole via $P-V$ criticality
• Instability of Super-Entropic Black Holes in Extended Thermodynamics
• SU(2)-Colored (A)dS Black Holes in Conformal Gravity
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• Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
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• Super-Entropic Black Holes and the Kerr-CFT Correspondence
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• Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes
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• Critical behavior of Gauss-Bonnet black holes via an alternative phase space
• Phase Transitions in 4D Gauss-Bonnet-de Sitter Black Holes
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
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• Multicritical Phase Transitions in Lovelock AdS Black Holes
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• Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
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• Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics
• On Thermodynamics of AdS Black Holes with Scalar Hair
• Benchmarking Black Hole Heat Engines, II
• Three-dimensional charged Einstein-aether black holes and Smarr formula
• No Violation of the Second Law in Extended Black Hole Thermodynamics
• Topology of the landscape and dominant kinetic path for the thermodynamic phase transition of the charged Gauss-Bonnet AdS black holes
• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
• Black Hole Chemistry: the first 15 years
• Thermodynamic topology of topological charged dilatonic black holes
• Universality class of alternative phase space and Van der Waals criticality
• Joule-Thomson Expansion of Regular Bardeen AdS Black Hole Surrounded by Static Anisotropic Quintessence Field
• A Cyclic Universe With Varying Cosmological Constant in $f(R,T)$ gravity
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Coupling Constants as Conserved Charges in Black Hole Thermodynamics
• Constructing black holes in Einstein-Maxwell-scalar theory
• Effects of dark energy on dynamic phase transition of charged AdS black holes
• Vacuum energy and the latent heat of AdS-Kerr black holes
• The P-V Phase Transition of the FRW Universe
• Taub-Bolt Heat Engines
• Black hole evaporation in Conformal (Weyl) gravity
• Ehrenfest scheme for complex thermodynamic systems in full phase space
• Charged $AdS$ Black Holes in $4D$ Einstein--Gauss--Bonnet Massive Gravity
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity
• Effective four-dimensional loop quantum black hole with a cosmological constant
• Holographic Heat engine within the framework of massive gravity
• Exploring the Phase Transition in Charged Gauss-Bonnet Black Holes: A Holographic Thermodynamics Perspectives
• Multicritical Phase Transitions in Multiply Rotating Black Holes
• Novel relations in massive gravity at Hawking-Page transition
• Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space
• Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach
• Snapping swallowtails in accelerating black hole thermodynamics
• Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid
• Hairy Black Hole Chemistry
• EUP-corrected thermodynamics of BTZ black hole
• Configurational entropy of charged AdS black holes
• Geometrothermodynamics of phantom AdS black holes
• Thermodynamics of Horndeski black holes with non-minimal derivative coupling
• NED-AdS black holes, extended phase space thermodynamics and Joule--Thomson expansion
• Exact black hole solutions with non-linear electrodynamic field
• Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes
• First law of black hole thermodynamics and Smarr formula with a cosmological constant
• Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions
• Thermodynamics and phase transition of charged AdS black holes with a global monopole
• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
• Extended Phase Space Thermodynamics for Black Holes in a Cavity
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Thermodynamics of Deformed AdS-Schwarzschild Black Hole
• Critical behavior of AdS Gauss-Bonnet massive black holes in the presence of external string cloud
• The intrinsic curvature of thermodynamic potentials for black holes with critical points
• Probing correlation between photon orbits and phase structure of charged AdS black hole in massive gravity background
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Universal criticality of thermodynamic geometry for boundary conformal field theories in gauge/gravity duality
• Black hole chemistry, the cosmological constant and the embedding tensor
• Maxwell's equal area law for Lovelock Thermodynamics
• Criticality and Surface Tension in Rotating Horizon Thermodynamics
• Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors-the temperature and repulsive interaction among BH molecules
• Phase transition and thermodynamic stability of topological black holes in Hořava-Lifshitz gravity
• Photon orbits and phase transitions in Born-Infeld-dilaton black holes
• Thermodynamics of AdS-Schwarzschild-like black hole in loop quantum gravity
• Quasinormal modes, greybody factors and thermodynamics of four dimensional AdS black holes in Critical Gravity
• Magnetically charged AdS black holes and Joule-Thomson expansion
• Quasi Normal Modes and P-V Criticallity for scalar perturbations in a class of dRGT massive gravity around Black Holes
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Evolving Black Holes in Inflation
• Fine micro-thermal structures for Reissner-Nordström black hole
• Reentrant phase transition of Born-Infeld-dilaton black holes
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
• Black Hole Thermodynamics with Dynamical Lambda
• Thermodynamics of FRW Universe: Heat Engine
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
• Phase transition and heat engine efficiency of phantom AdS black holes
• Joule-Thomson expansion of AdS black holes in quasi-topological electromagnetism
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• Are Superentropic black holes superentropic?
• Photon Orbits and Thermodynamic Phase Transition of Regular AdS Black Holes
• Solutions and basic properties of regularized Maxwell theory
• Joule-Thomson expansion of the quasitopological black holes
• Phase transition and entropy inequality of noncommutative black holes in a new extended phase space
• Charged black hole chemistry with massive gravitons
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Black Holes in Double-Logarithmic Nonlinear Electrodynamics
• Hairy black holes and holographic heat engine
• AdS black holes in the framework of nonlinear electrodynamics, thermodynamics and Joule--Thomson expansion
• Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Rate of the phase transition for a charged anti-de Sitter black hole
• Effect of Dark Energy in Geometrothermodynamics and Phase Transitions of Regular Bardeen AdS Black Hole
• Thermodynamic Geometry of Black Holes in the Canonical Ensemble
• Thermodynamics of two black holes
• van der Waals fluid and charged AdS black hole in the Landau theory
• $Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity
• Thermodynamic Studies of Different Black Holes with Modifications of Entropy
• Black Holes, Moduli, and Long-Range Forces
• Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
• Universal criticality of thermodynamic curvatures for charged AdS black holes
• Critical behaviour of Lifshitz dilaton black holes
• Conical Holographic Heat Engines
• Topology of black hole thermodynamics via Rényi statistics
• Horizon Thermodynamics from Einstein's Equation of State
• Dynamic behaviours of black hole phase transitions near quadruple points
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• On Rényi universality formula of charged flat black holes from Hawking-Page phase transition
• A note of the first law of thermodynamics by gravitational decoupling
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Black holes of dimensionally continued gravity coupled to Born-Infeld electromagnetic field
• Horizon Thermodynamics and Gravitational Field Equations in Quasi-Topological Gravity
• Null Geodesics and Thermodynamic Phase Transition of Four-Dimensional Gauss-Bonnet AdS Black Hole
• Cosmological constant is a conserved charge
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
• Black hole thermodynamics from logotropic fluids
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• First law of thermodynamics for dynamical apparent horizons and the entropy of Friedmann universes
• Ruppeiner curvature along a renormalization group flow
• Black holes thermodynamics with CFT re-scaling
• String Theory Corrections to Holographic Black Hole Chemistry
• Examining the weak cosmic censorship conjecture of RN-AdS black holes via the new version of the gedanken experiment
• Thermodynamic topological classes of the rotating, accelerating black holes
• Extended phase space thermodynamics of black holes: A study in Einstein's gravity and beyond
• Statistical mechanics of gravitons in a box and the black hole entropy
• Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime
• Critical behavior of charged dilaton black holes in AdS space
• First Principle Study of Gravitational Pressure and Thermodynamics of FRW Universe
• Phase Structure and QNMs of A Charged AdS Dilaton Black Hole
• Holographic heat engine with momentum relaxation
• Overcharging problem and thermodynamics in extended phase spaces
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Thermodynamical stability of $f(R)$-AdS black holes in grand canonical ensemble
• Incoherent conductivity of holographic charge density waves
• Non-linear black holes in 2+1 dimensions as heat engines
• Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality
• Divergence Behavior of Thermodynamic Curvature Scalar at Critical Point in the Extended Phase Space of Generic Black Holes
• Path integral and instantons for the process and phase transition rate of the RNAdS black hole
• Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity
• Hawking--Page phase transitions of the black holes in a cavity
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
• Thermodynamic Volume and the Extended Smarr Relation
• Novel Aspects of the Extended First Law of Entanglement
• Phase transition and Quasinormal modes for Charged black holes in 4D Einstein-Gauss-Bonnet gravity
• Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes
• Geometric Thermodynamics of Schwarzschild-AdS black hole with a Cosmological Constant as State Variable
• QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes
• Thermodynamics curvature in phase transitions for AdS black hole
• Topological classes of BTZ black holes
• Friedmann equations from nonequilibrium thermodynamics of the Universe: A unified formulation for modified gravity
• Hawking Radiation and $P-v$ Criticality of Charged Dynamical (Vaidya) Black Hole in Anti-de Sitter Space
• Physical Generalizations of the Renyi Entropy
• Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism
• The Thermodynamic Efficiency in Static and Dynamic Black Holes
• Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes
• Central charge criticality of charged AdS black hole surrounded by different fluids
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Thermodynamics of Dyonic NUT Charged Black Holes with Entropy as Noether Charge
• Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law
• Hairy black holes of Lovelock-Born-Infeld-Scalar gravity
• Shadow thermodynamics of non-linear charged Anti-de Sitter black holes
• Joule-Thomson expansion of charged dilatonic black holes
• Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism
• Negative Temperature Pressure in Black Holes
• Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics
• An improved derivation of the Smarr Formula for Lorentz-breaking gravity
• A Hamiltonian approach for the Thermodynamics of AdS black holes
• Generalized Maxwell equal area law and black holes in complex free energy
• Thermodynamic Products in Extended Phase Space
• Thermodynamic curvature of AdS black holes with dark energy
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Accelerating BTZ spacetime
• Chaos in Born-Infeld-AdS black hole within extended phase space
• One-to-one correspondence between entanglement mechanics and black hole thermodynamics
• Revisit on holographic complexity in two-dimensional gravity
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry
• Thermodynamics, Phase Transition and Joule Thomson Expansion of 4-D Gauss-Bonnet AdS Black Hole
• Chemistry and Complexity for Solitons in AdS${}_5$
• On the thermodynamic stability of rotating black holes in higher dimensions -- a comparison of thermodynamic ensembles
• Black hole with global monopole charge in self-interacting Kalb-Ramond field
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Bekenstein-Hawking entropy in expanding universes from black hole theorems
• Excitations of the Myers-Perry Black Holes
• Gravitational Tension, Spacetime Pressure and Black Hole Volume
• Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy
• Black Holes in $4D$ AdS Einstein Gauss Bonnet Gravity With Power- Yang Mills Field
• Logarithmic corrections to the entropy function of black holes in the open ensemble
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• Deflection Light Behaviors by AdS Black Holes
• The geometry of RN-AdS fluids
• Shadow thermodynamics of the Hayward-AdS black hole
• Thermodynamics of Non-linear magnetic-charged AdS black hole surrounded by quintessence, in the background of perfect fluid dark matter
• Quantum Thermodynamics of a Quantum Sized AdS Black Hole
• Holographic heat engine in Horndeski model with the $k$-essence sector
• The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole
• A Young-Laplace law for black hole horizons
• Modified Cosmic Chaplygin AdS Black Hole
• Entanglement Entropy and Phase Portrait of f(R)-AdS Black Holes in the Grand Canonical Ensemble
• Exact black hole solutions in gravity with a background Kalb-Ramond field
• Topological AdS black holes surrounded by Chaplygin dark fluid: from stability to geometrothermodynamic analysis
• Horizon entanglement area law from regular black hole thermodynamics
• Black holes as spherically-symmetric horizon-bound objects
• Black Holes in a Cavity: Heat engine and Joule-Thomson Expansion
• Thermodynamic Geometry of Black Holes Enclosed by a Cavity in Extended Phase Space
• Extended phase space thermodynamics for Lovelock black holes with non-maximally symmetric horizons
• Effective field theory for closed strings near the Hagedorn temperature
• Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity
• Thermodynamics and weak cosmic censorship conjecture of an AdS black hole with a monopole in the extended phase space
• Test the Weak Cosmic Censorship Conjecture in Torus-Like Black Hole under Charged Scalar Field
• Holographic Heat Engines as Quantum Heat Engines
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• Thermodynamics of the Bardeen Black Hole in Anti-de Sitter Space
• Massive gravity with Lorentz symmetry breaking: black holes as heat engines
• Phase Transitions and Stability of Eguchi-Hanson-AdS Solitons
• Black hole thermodynamics with the cosmological constant as independent variable: Bridge between the enthalpy and the Euclidean path integral approaches
• Thermodynamics of Schwarzschild-Beltrami-de Sitter Black Hole
• Gravitational and Gravitoscalar Thermodynamics
• Phase transition and thermodynamic stability in extended phase space and charged Hořava-Lifshitz black holes
• Critical behaviors of black hole in an asymptotically safe gravity with cosmological constant
• Thermodynamic phase transition rate for the third-order Lovelock black hole in diverse dimensions
• A Note on Gauss-Bonnet Black Holes at Criticality
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• Thermodynamics of charged and accelerating black holes
• Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity
• GUP-Corrected van der Waals Black Holes
• New Gedanken experiment on Reissner-Nordström AdS Black Holes surrounded by quintessence
• Thermalon mediated phase transitions in Gauss-Bonnet gravity
• Interior Volume of Banados-Teitelboim-Zanelli Black Hole
• SAdS black holes and spacetime atoms: a heuristic approach
• Entropy in general relativity: Kerr-AdS black hole
• Hawking-Moss transition with a black hole seed
• A Note on Circular Geodesics and Phase Transitions of Black Holes
• Lovelock black p-branes with fluxes
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Scaling symmetry and scalar hairy Lifshitz black holes
• Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
• Holographic explorations of regular black holes in pure gravity
• New insights into thermodynamics and microstructure of AdS black holes
• Topology and phase transition for EPYM AdS black hole in thermal potential
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Charged torus-like black holes as heat engines
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Entropy Bounds for Rotating AdS Black Holes
• Joule-Thomson expansion of $AdS$ black holes in Einstein-power-Yang-Mills gravity
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• ${\tilde{W}}^{1+}$ subclass: Extending the topological classification of black hole thermodynamics
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• The extremal Kerr entropy in higher-derivative gravities
• Thermodynamic curvature of the Schwarzschild-AdS black hole and Bose condensation
• Topologically nontrivial black holes in Lovelock-Born-Infeld gravity
• Thermodynamics and weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes
• Topology of the charged AdS black hole in restricted phase space
• Extremal Vanishing Horizon Kerr-AdS Black Holes at Ultraspinning Limit
• Gliner Vacuum, Self-consistent Theory of Ruppeiner Geometry for Regular Black Holes
• Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
• The first law of differential entropy and holographic complexity
• Smarr formula for BTZ black holes in general three-dimensional gravity models
• Holographic Complexity Bounds
• Nonlinearity effect on Joule-Thomson expansion of Einstein-power-Yang-Mills AdS black hole
• Novel logarithmic corrections to black hole entropy
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• Phantom hairy black holes and wormholes in Einstein-bumblebee gravity
• $\mathcal{P}-v$ Criticality in Gauged Supergravities
• Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• Four $\mathbb{STU}$ Black Holes Shadows
• Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Entropy, energy and temperature-length inequality for Friedmann universes
• Extended Thermodynamics of Self-Gravitating Skyrmions
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Noether charge formalism for Weyl invariant theories of gravity
• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity
• A Note on Smarr Relation and Coupling Constants
• The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Phase transition grade and microstructure of AdS black holes in massive gravity
• Black hole horizons can hide positive heat capacity
• Deciphering black hole phase transitions through photon spheres
• Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure
• Thermodynamic Volume of Cosmological Solitons
• The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces
• Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature
• Thermodynamic geometry of pure Lovelock black holes
• Thermodynamics of $z=4$ Hořava-Lifshitz black holes
• A topological charge of black holes
• The Interior Volume of Kerr-AdS Black Holes
• Critical Heat Engines in Massive Gravity
• Scalar fields and Lifshitz black holes from Derrick's theorem evasion
• $P-V$ Criticality of Conformal Gravity Holography in Four Dimensions
• Analytic phase structures and thermodynamic curvature for the charged AdS black hole in alternative phase space
• Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
• Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity
• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
• Microstructure and continuous phase transition of a regular Hayward black hole in anti-de Sitter spacetime
• Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond
• Thermodynamic geometry and phase transition of spinning AdS black holes
• Noether charge formalism for Weyl transverse gravity
• The Holar Wind
• The zeroth law in quasi-homogeneous thermodynamics and black holes
• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves
• Quasinormal Modes and Van der Waals like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling
• Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes
• Restricted Phase Space Thermodynamics of NED-AdS Black Holes
• Testing the microstructure of $d$-dimensional charged Gauss-Bonnet anti-de Sitter black holes
• Black Hole Thermodynamics in Harada's inspired theory of gravity: Stability, Phase Structure and Geometrothermodynamics
• Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry
• Static and Dynamic Charged Black Holes
• Enthalpy, Geometric Volume and Logarithmic correction to Entropy for Van-der-Waals Black Hole
• Holographic Entanglement Entropy and Van der Waals transitions in Einstein-Maxwell-dilaton theory
• Revisiting the Second Law and Weak Cosmic Censorship Conjecture in High-Dimensional Charged-AdS Black Hole: an Additional Assumption
• Topological Mod(A)Max AdS black holes
• A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• Phase transition of non-linear charged Anti-de Sitter black holes
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• Critical Black Holes in a Large Charge Limit
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
• Interaction Between AdS Black Hole Molecules
• Joule-Thomson effect of AdS black holes in conformal gravity
• Anyon Black Holes
• Universality for Black Hole Heat Engines Near Critical Points
• The Last Lost Charge And Phase Transition In Schwarzschild AdS Minimally Coupled to a Cloud of Strings
• Geometry of AdS black hole thermodynamics in extended phase space
• Meronic AdS Black Holes in Gauss-Bonnet Theory
• Thermodynamics and and phase transition of topological dilatonic Lifshitz-like black holes
• Thermodynamic Instability of $3D$ Einstein-Born-Infeld AdS Black Holes
• Regular black holes in isothermal cavity
• Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Fluid description of gravity on a timelike cut-off surface: beyond Navier-Stokes equation
• Relativistic Correction to Black Hole Entropy
• Thermal analysis of black hole in de Rham--Gabadadze--Tolley massive gravity in Barrow entropy framework
• On regular charged black holes in three dimensions
• On the thermodynamic phase structure of conformal gravity
• Extended phase space thermodynamics of black hole with non-linear electrodynamic field
• Entropy of higher-dimensional charged de Sitter black holes and phase transition
• Overview of thermodynamic properties for Reissner-Nordstrom-de Sitter spacetime in induced phase space
• Boosting thermodynamic performance by bending space-time
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• The phase transition of Rastall AdS black hole with cloud of strings and quintessence
• Black hole solutions in theory of ModMax-dRGT-like massive gravity
• Euclidean methods and phase transitions for the strongest deformations compatible with Schwarzschild asymptotics
• First order corrections to black hole thermodynamics: a simple approach enhanced
• Cooling and heating regions of Joule-Thomson expansion for AdS black holes: Einstein-Maxwell-Power-Yang-Mills and Kerr Sen black holes
• Genuine Cosmic Hair
• Black hole thermodynamics from an ensemble-averaged theory
• Testing black holes with cosmological constant in Einstein-bumblebee gravity through the black hole shadow using EHT data and deflection angle
• Thermodynamic extremality relations in the massive gravity
• The heat engine of magnetic black holes in AdS space with rational nonlinear electrodynamics
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• Volume dependent extension of Kerr-Newman black hole thermodynamics
• Event Horizon Wrinklification
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Fingerprinting the fractional order phase transitions in AdS black holes
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Holographic Thermodynamics of BTZ Black Holes and Tsallis Entropy
• Fractional-order phase transition of charged AdS black holes
• Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes
• Quantum gravitational corrections to the geometry of charged AdS black holes
• On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Geometrothermodynamics of black holes with a nonlinear source
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Thermodynamics of BTZ Black Holes in Nonlinear Electrodynamics
• A varying gravitational constant map in asymptotically AdS black hole thermodynamics
• Black hole solutions to Einstein-Bel-Robinson gravity
• General mass formulas for charged Kerr-AdS black holes
• Statistical description of massless excitations within a sphere with a linear equation of state and the dark energy case
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• First law of black hole mechanics in variable background fields
• Thermodynamics of Inhomogeneously Mass-deformed ABJM Model and Pressure Anisotropy
• Bulk-Boundary Thermodynamics of Charged Black Holes in Higher Derivative Theory
• Angular Momentum Independence of the Entropy Sum and Entropy Product for AdS Rotating Black Holes In All Dimensions
• Particle hanging on a string near a Schwarzschild black hole
• Thermodynamics of 5D Charged Rotating Black Holes: A Counterterms Treatment
• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
• Statistical ensembles and logarithmic corrections to black hole entropy
• Thermodynamics of charged AdS black holes in rainbow gravity
• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• Thermodynamic Topological Classes of Family of Black Holes with NUT-Charge
• Entanglement growth during Van der Waals like phase transition
• Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space
• Thermodynamic bounce effect in quantum BTZ black hole
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• Holographic Van der Waals phase transition of the higher dimensional electrically charged hairy black hole
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• Thermodynamics of $d$-Dimensional Charged AdS (Anti-de Sitter) Black Holes: Hamiltonian Approach and Clapeyron Equation
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Dyonic Taub-NUT-AdS: Unconstraint Thermodynamics and Phase Structure
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Symmetry Breaking Vacua in Lovelock Gravity
• Holographic Joule-Thomson Expansion in Lower Dimensions
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• Dark Energy Accretion onto Van der Waal's Black Hole
• Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion
• Topology of black hole thermodynamics: A brief review
• $\lambda$ phase transition in Horava gravity
• High temperature AdS black holes are low temperature quantum phonon gases
• On thermodynamics of compact objects
• Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Thermodynamic Topology and Photon Spheres Analysis of Black Holes in Brane-World: Insights from Barrow Entropy
• Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity
• Thermodynamic features of AdS black holes within the Rastall gravity and perfect fluid matter framework
• A new measure of thermal micro-behavior for the AdS black hole
• Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
• Extended Phase Space Thermodynamics of Black Holes in Massive Gravity
• Information paradox and corrected thermodynamics for black holes
• Implementing black hole as efficient power plant
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• Quasilocal Smarr relations for static black holes
• Novel topological subclass in Hourava-Lifshitz black holes
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence
• Nonlinear Yang-Mills black holes
• Charged Lifshitz black holes from general covariance breaking
• An alternative study about the geometry and the first law of thermodynamics for AdS Lovelock gravity, using the definition of conserved charges
• Thermodynamics of dyonic black holes in non-linear electrodynamics
• A Deep Dive into classical and Topological CFT Thermodynamics in Lifshitz and Hyperscaling Violating Black Holes
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• Holographic pressure and volume for black holes
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
• Topological confinement in Skyrme holography
• Evidence for NO violation of the second law in extended black hole thermodynamics
• Complexity growth rate, grand potential and partition function
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Unruh thermal hadronization and the cosmological constant
• Insight into the Microscopic Structure of an AdS Black Hole from the Quantization
• Discussion of a possible corrected black hole entropy
• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Thermodynamic Topology of Black Holes within Tsallis Statistics
• Phase transitions in D-dimensional Gauss-Bonnet-Born-Infeld AdS black holes
• Generating Kerr-anti-de Sitter thermodynamics
• Ruppeiner geometry, P-V criticality and interacting microstructures of black holes in dRGT massive gravity
• Dynamical de Sitter black holes in a quasi-stationary expansion
• Superconducting and Anti-Ferromagnetic Phases of Spacetime
• The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases
• A New Phase Transition Related to the Black Hole's Topological Charge
• Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations
• The generalization of charged AdS black hole specific volume and number density
• First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes
• GUP corrections to black hole thermodynamics in the extended phase space approach
• Black holes of multiple horizons without mass inflation
• Information evolution in the interior of an axially symmetric BTZ black hole
• Large Gauge Symmetries of an Asymptotically de Sitter Horizon: An Extended First Law of Thermodynamics
• Regular black holes and reductions of thermodynamic phase spaces
• The role of the cosmological constant as a pressure in the (2+1)-dimensional black string
• Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics
• Revisit on the thermodynamic stability of Hořava-Lifshitz black hole
• Counterterm method and thermodynamics of Hairy Black Holes in a Vector-Tensor theory with Abelian gauge symmetry breaking
• Extremal Instability for Topological Black Holes
• $P-V$ criticality and Joule-Thomson Expansion of Hayward-AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions
• Topological perspective on bulk boundary thermodynamic equivalence
• Gauss-Bonnet entropy and thermal dynamics of RN-AdS black holes
• Effects of global monopole on critical behaviors and microstructure of charged AdS black holes
• The radial distribution function reveals the underlying mesostructure of the AdS black hole
• Absence of isolated critical points with nonstandard critical exponents in the four-dimensional regularization of Lovelock gravity
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Refined Thermodynamics of Black Holes with Proper Conserved Charges
• Thermal chaos of quantum-corrected-AdS black hole in the extended phase space
• Thermodynamics of spinning AdS4 black holes in gauged supergravity
• Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics
• Universal entropy relations: entropy formulae and entropy bound
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime
• Spacetime Foam Effects on Charged AdS Black Hole Thermodynamics
• The entropy of Taub-Bolt-AdS from an improved action principle
• Surface tension of the horizon
• The Smarr formula within the Geroch-Held-Penrose formalism
• Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• Thermodynamic and observational implications of black holes in toroidal geometry
• Asymptotic critical behavior of holographic phase transition at finite topological charge -- the spectrum of excited states becomes continuous at $T=0$
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Degenerate Black Rings in $D=5$ Minimal Supergravity
• Criticality of Lower Dimensional AdS${}_d$ Black Holes
• Area products for ${\mathcal{H}}^{\pm }$ in AdS space
• Black-Hole Thermodynamics from Gauge Freedom in Extended Iyer-Wald Formalism
• Notes on sums over horizons
• Mass Independent Area (or Entropy) and Thermodynamic Volume Products in Conformal Gravity
• Null hypersurface caustics and super-entropic black holes
• Probing black hole microstructure with the kinetic turnover of phase transition
• On the five-dimensional non-extremal Reissner-Nordström black hole: Retractions and scalar quasibound states
• Black hole thermodynamic free energy as $A$-discriminants
• Van der Waals black holes in rainbow gravity
• Dyonic Taub-NUT-AdS Spaces: Phase Structures of all Horizon Geometries
• Extended thermodynamics and $P-v$ Criticality of Kalb-Ramond black hole coupled with nonlinear electrodynamics
• Cooling-Heating Properties of the FRW Universe in Gravity with a Generalized Conformal Scalar Field
• Black hole images as probes of thermodynamic evolution
• Holographic complexity of rotating black holes
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• RPST-Inspired Formalism for Black Holes in Flat Spacetime
• Universal thermodynamic topological classes of the charged dRGT black string
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
• Noncommutative black holes in extended anti-de Sitter phase space
• Hawking atmosphere of anti-de Sitter black holes
• Phase transition for a black hole with matter fields and the relation with the Lyapunov exponent
• Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions
• Planckian charged black holes and their cosmological ramifications
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Born-Infeld AdS Black Holes Surrounded by Perfect Fluid Dark Matter
• Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime
• Extended Holographic Rényi Entropy and hyperbolic black hole with scalar hair
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Modified first law of charged dilaton black hole
• Joule-Thomson expansion for noncommutative uncharged black holes
• Extended black hole thermodynamics in a DGP braneworld
• Regularized Black Hole Solution from a New String Cloud Source
• Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole
• Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams
• Penrose-Rindler equation and horizon thermodynamics of stationary black holes
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity
• Holographic CFT phase transitions and criticality for charged Gauss-Bonnet AdS black holes in the ensemble at fixed $(C,\mathcal{V},\tilde{Q},\tilde{\mathcal{A}})$
• Central Singularity of Three-Dimensional Kerr-de Sitter Black Holes
• Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole
• Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge
• Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole
• Quantum and higher curvature corrections to the anti-de Sitter black hole
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture
• Revisiting particle circular orbits as probes of black hole phase transitions
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory
• On Thermodynamic Stability of Black Holes. Part II: AdS Family of Solutions