Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity

Abstract

In this work the \textit{chemistry} of asymptotically AdS black hole, charged and uncharged, solutions of Pure Lovelock gravity is discussed. For this the mass parameter of black holes is identified with the enthalpy of the system together with the promotion of the cosmological constant to a thermodynamics variable proportional to the \textit{pressure} of the system. The equations of state for both, charged and uncharged, are obtained. It is shown that the charged case behaves as a Van der Waals fluid. The existence of a first order phase transition between small stable/large stable black hole, which is a reminiscent of the liquid/gas transition, is found. The critical exponents of the thermal evolution, for different cases of interest, are similar to those of the Van der Waals fluid.

References in corpus (65)

• Black Hole Entropy is Noether Charge
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Brane-World Gravity
• Black hole chemistry: thermodynamics with Lambda
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Brane-world gravity
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Holographic Heat Engines
• Black Hole Scan
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Dimensionally Continued Black Holes
• Joule-Thomson Expansion of Charged AdS Black Holes
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Rényi entropy and the thermodynamic stability of black holes
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• P-V Criticality in Quasitopological Gravity
• Isolated critical point from Lovelock gravity
• Black Holes in Pure Lovelock Gravities
• Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space
• P-V criticality of AdS black holes in a general framework
• Bardeen black hole chemistry
• Joule-Thomson expansion of $d$-dimensional charged AdS black holes
• $P-V$ criticality and geometrothermodynamics of black holes with Born-Infeld type nonlinear electrodynamics
• Holographic heat engines: general considerations and rotating black holes
• A way of decoupling gravitational sources in pure Lovelock gravity
• A Lovelock black hole bestiary
• Joule-Thomson expansion of charged AdS black holes in Rainbow gravity
• Thermodynamics of hairy black holes in Lovelock gravity
• P-V criticality in AdS black holes of massive gravity
• Mass and Free Energy of Lovelock Black Holes
• Geometrical thermodynamics and P-V criticality of the black holes with power-law Maxwell field
• Reverse Hawking-Page Phase Transition in de Sitter Black Holes
• Universality of P-V Criticality in Horizon Thermodynamics
• Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• Thermodynamics of charged accelerating AdS black holes and holographic heat engines
• Buchdahl compactness limit for a pure Lovelock static fluid star
• Higher Order Corrections to Holographic Black Hole Chemistry
• Universality of isothermal fluid spheres in Lovelock gravity
• Regular black holes and its thermodynamics in Lovelock gravity
• Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes
• Holographic Heat Engines, Entanglement Entropy, and Renormalization Group Flow
• Compact objects in pure Lovelock theory
• Topological black holes in pure Gauss-Bonnet gravity and phase transitions
• Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
• Taub-Bolt Heat Engines
• Pure Lovelock black hole in the dimension, $d=3N+1$, is stable
• Buchdahl-Vaidya-Tikekar model for stellar interior in pure Lovelock gravity - II
• Polarised Black Holes in AdS
• Static pure Lovelock black hole solutions with horizon topology ${\mathbf{S}}^{(\mathbf{n})}\times {\mathbf{S}}^{(\mathbf{n})}$
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Non-linear black holes in 2+1 dimensions as heat engines
• Instability of black strings in third-order Lovelock theory
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Dynamics of Gravity as Thermodynamics on the Spherical Holographic Screen
• $\mathcal{P}-v$ Criticality in Gauged Supergravities
• Generalized Gödel universes in higher dimensions and pure Lovelock gravity
• Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
• On Lovelock vacuum solution

Cited by in corpus (7)

• Thermodynamic Topological Classifications of Well-Known Black Holes
• Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes
• Thermodynamic stability of a new three dimensional regular black hole
• Yang-Mills black holes in Quasitopological gravity
• An alternative study about the geometry and the first law of thermodynamics for AdS Lovelock gravity, using the definition of conserved charges