Topology of black hole thermodynamics in Lovelock gravity

Abstract

In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer degree, which reflects intrinsic properties of the system under smooth deformations. Specially, in our setup, it can be easily calculated without exact solution of critical points. This enables us to conveniently investigate the topological transition between different thermodynamic systems, and give a topological classification for them. In this framework, topology of Lovelock AdS black holes with spherical horizon geometry is explored. Results show that charged black holes in arbitrary dimensions can be classified into the same topology class, whereas the $d=7$ and $d\ge 8$ uncharged black holes are in different topology classes. Moreover, we revisit the relation between different phase structures of these black holes from the viewpoint of topology. Some general topological properties of critical points are also discussed.

arXiv comment11 pages, 7 figures

References in corpus (35)

• Gauge Theory Correlators from Non-Critical String Theory
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• The cosmological constant and the black hole equation of state
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Light ring stability in ultra-compact objects
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Black Hole Solutions as Topological Thermodynamic Defects
• Black Hole Chemistry
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Superfluid Black Holes
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Topology of black hole thermodynamics
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Isolated critical point from Lovelock gravity
• Topology of black hole thermodynamics in Gauss-Bonnet gravity
• Topology of critical points and Hawking-Page transition
• Topology of Born-Infeld AdS black holes in 4D novel Einstein-Gauss-Bonnet gravity
• Evolution of the Chern-Simons Vortices
• Mass and Free Energy of Lovelock Black Holes
• Reentrant phase transition of Born-Infeld-AdS black holes
• Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics
• Knotlike Cosmic Strings in The Early Universe
• Derive Lovelock Gravity from String Theory in Cosmological Background

Cited by in corpus (55)

• Topological classes of thermodynamics of rotating AdS black holes
• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Thermodynamic topology of black Holes in f(R) gravity
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Topological classes of black holes in de-Sitter spacetime
• Universal thermodynamic topological classes of rotating black holes
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• Thermodynamical topology of quantum BTZ black hole
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Thermodynamic Topology of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
• Topological classes of higher-dimensional black holes in massive gravity
• Bulk-boundary and RPS Thermodynamics from Topology perspective
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• On Thermal Stability of Hairy Black Holes
• Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in different ensembles
• Topology of the landscape and dominant kinetic path for the thermodynamic phase transition of the charged Gauss-Bonnet AdS black holes
• Black Hole Chemistry: the first 15 years
• Thermodynamic topology of topological charged dilatonic black holes
• Rényi Topology of Charged-flat Black Hole: Hawking-Page and Van-der-Waals Phase Transitions
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Topology of black hole thermodynamics via Rényi statistics
• Thermodynamic topological classes of the rotating, accelerating black holes
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Topological classes of BTZ black holes
• Topological Interpretation of Black Hole Phase Transition in Gauss-Bonnet Gravity
• Thermodynamic phase transition rate for the third-order Lovelock black hole in diverse dimensions
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Rényi Entropy and the Topological Features of Charged AdS Black Hole
• Assessing WGC Compatibility in ModMax Black Holes via Photon Spheres Analysis and WCCC Validation
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
• Thermodynamic Topological Classes of Family of Black Holes with NUT-Charge
• Topology of black hole thermodynamics: A brief review
• Thermodynamic Topology and Photon Spheres Analysis of Black Holes in Brane-World: Insights from Barrow Entropy
• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• A Deep Dive into classical and Topological CFT Thermodynamics in Lifshitz and Hyperscaling Violating Black Holes
• Cosmic acceleration in Lovelock quantum gravity
• Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity