Thermodynamics of horizons: de Sitter black holes and reentrant phase transitions

Abstract

In this paper we propose a straightforward method for understanding the thermodynamics of black holes in de Sitter space, one that will allow us to study these black holes in a way that is analogous to the anti-de Sitter case. As per usual, we formulate separate thermodynamic first laws for each horizon present in the spacetime, and study their thermodynamics as if they were independent systems characterized by their own temperature. That these systems are not entirely independent and various thermodynamic quantities in them are in fact "correlated" is reflected by the fact that their thermodynamics can be captured by a single Gibbs free energy-like thermodynamic potential. This quantity contains information about possible phase transitions in the system and allows us to uncover a rich phase structure for de Sitter black holes. In particular, we discover reentrant phase transitions for Kerr-dS black holes in six dimensions, a phenomenon recently observed for their six dimensional AdS cousins.

27 pages, 12 figures v3: extended version

References in corpus (10)

• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• A note on entropy of de Sitter black holes
• Cosmography of KNdS Black Holes and Isentropic Phase Transitions
• Thermodynamic properties of black holes in de Sitter space
• The Universal Area Product: An Heuristic Argument

Cited by in corpus (83)

• Black hole chemistry: thermodynamics with Lambda
• Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
• Area-law versus Rényi and Tsallis black hole entropies
• Weak Cosmic Censorship Conjecture in Kerr-(Anti-)de Sitter Black Hole with Scalar Field
• Reentrant phase transition of Born-Infeld-AdS black holes
• Reverse Hawking-Page Phase Transition in de Sitter Black Holes
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Universality of P-V Criticality in Horizon Thermodynamics
• Novel phase transition in charged dilaton black holes
• Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
• Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
• Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
• Cosmography of KNdS Black Holes and Isentropic Phase Transitions
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Schwarzschild-de Sitter spacetime: the role of Temperature in the emission of Hawking radiation
• Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• On Einstein-non linear-Maxwell-Yukawa de-Sitter black hole thermodynamics
• Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
• Thermodynamic properties of black holes in de Sitter space
• Phase Transitions in 4D Gauss-Bonnet-de Sitter Black Holes
• Constructing black holes in Einstein-Maxwell-scalar theory
• Hairy Black Hole Chemistry
• Snapping swallowtails in accelerating black hole thermodynamics
• Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
• Reentrant phase transition of Born-Infeld-dilaton black holes
• Accelerating Black Hole Thermodynamics with Boost Time
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Particle creation by de Sitter black holes revisited
• Kerr-de Sitter spacetime, Penrose process and the generalized area theorem
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes
• Test fields cannot destroy extremal de Sitter black holes
• Dynamical and Thermal Stabilities of Nonlinearly Charged AdS Black Holes
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Shadow thermodynamics of non-linear charged Anti-de Sitter black holes
• Shadow thermodynamics of the Hayward-AdS black hole
• The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole
• Pure Lovelock Gravity regular black holes
• Thermodynamics and phase transition of rotating regular-de Sitter black holes
• Black holes as spherically-symmetric horizon-bound objects
• Thermodynamics of de Sitter black hole in massive gravity
• Gravitational and Gravitoscalar Thermodynamics
• Thermodynamics of Schwarzschild-Beltrami-de Sitter Black Hole
• Phase transitions and entropy force of charged de Sitter black holes with cloud of string and quintessence
• Thermodynamics for the k-essence Emergent Reissner-Nordstrom-de Sitter Spacetime
• An Exploration of the Black Hole Entropy via the Weyl Tensor
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• Entropy of Higher Dimensional Charged Gauss-Bonnet Black hole in de Sitter Space
• Black String in Massive Gravity
• Black holes in Einstein-Gauss-Bonnet gravity with a background of modified Chaplygin gas
• Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes
• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature
• Thermodynamic Volume of Cosmological Solitons
• Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
• Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source
• Phase transition of non-linear charged Anti-de Sitter black holes
• Entropic force between two horizons of dilaton black holes with a power-Maxwell field
• Overview of thermodynamic properties for Reissner-Nordstrom-de Sitter spacetime in induced phase space
• Entropy of higher-dimensional charged de Sitter black holes and phase transition
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Euclidean methods and phase transitions for the strongest deformations compatible with Schwarzschild asymptotics
• Entropy of higher-dimensional topological dS black holes with nonlinear source
• Black hole solutions to Einstein-Bel-Robinson gravity
• Black holes inside cosmic voids
• The entropic force between two horizons of charged Gauss-Bonnet Black hole in de Sitter Spacetime
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Charged Taub-NUT-de Sitter spacetime in DGP braneworld and its thermodynamics
• Phase transition and entropy force between two horizons in (n+2)-dimensional de Sitter space
• Manifestation of Quantum Forces in Spacetime: Towards a General Theory of Quantum Forces
• Quantum loop corrections of charged dS black hole
• On the Euclidean Action of de Sitter Black Holes and Constrained Instantons
• Critical points in Lovelock Black Holes
• Dominant Spacetime in Three Dimensional de Sitter Gravity
• Thermodynamic Constraints on Perfect Equilibrium Superconducting Diodes
• The Gravity of Classical Fields: And Its Effect on the Dynamics of Gravitational Systems