Rényi entropy and the thermodynamic stability of black holes

Abstract

Thermodynamic stability of black holes, described by the Rényi formula as equilibrium compatible entropy function, is investigated. It is shown that within this approach, asymptotically flat, Schwarzschild black holes can be in stable equilibrium with thermal radiation at a fixed temperature. This implies that the canonical ensemble exists just like in anti-de Sitter space, and nonextensive effects can stabilize the black holes in a very similar way as it is done by the gravitational potential of an anti-de Sitter space. Furthermore, it is also shown that a Hawking-Page-like black hole phase transition occurs at a critical temperature which depends on the $q$-parameter of the Rényi formula.

6 pages, 6 figures, accepted for publication in Phys. Lett. B

References in corpus (4)

• Black Hole Thermodynamics
• Zeroth Law compatibility of non-additive thermodynamics
• Entropy of gravitating systems: scaling laws versus radial profiles
• The Efficiency of Gravitational Bremsstrahlung Production in the Collision of Two Schwarzschild Black Holes

Cited by in corpus (90)

• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Accelerated cosmos in a non-extensive setup
• Generalized entropies and corresponding holographic dark energy models
• Area-law versus Rényi and Tsallis black hole entropies
• Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• Thermodynamics in Rastall Gravity with Entropy Corrections
• Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
• Modified cosmology from the thermodynamics of apparent horizon
• Alternative entropies and consistent black hole thermodynamics
• The extended uncertainty principle inspires the Rényi entropy
• New entropies, black holes, and holographic dark energy
• Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Tsallis holographic dark energy in Fractal Universe
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• On the equipartition theorem and black holes nongaussian entropies
• Relative information entropy in cosmology: The problem of information entanglement
• Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe
• On Rényi universality formula of charged flat black holes from Hawking-Page phase transition
• Topology of black hole thermodynamics via Rényi statistics
• Study of Tsallis holographic dark energy model in the framework of Fractal cosmology
• RHDE models in FRW Universe with two IR cut-offs with redshift parametrization
• AdS black hole thermodynamics and microstructures from $f(Q)$ gravitation
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Offshell thermodynamic metrics of the Schwarzschild black hole
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Lagrangian formulation of the Tsallis entropy
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
• Rényi Holographic Dark Energy
• Generalized black hole entropy in two dimensions
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Black hole horizons can hide positive heat capacity
• The zeroth law in quasi-homogeneous thermodynamics and black holes
• AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Look beyond additivity and extensivity of entropy for black hole and cosmological horizons
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications
• Volume dependent extension of Kerr-Newman black hole thermodynamics
• Topological and optical signatures of modified black-hole entropies
• Interacting and Non-interacting Reńyi Holographic Dark Energy Models in DGP Braneworld
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
• Information theoretic measures on quantum droplets in ultracold atomic systems
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Maximum rate of entropy emission
• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• Universal Relations with the Non-Extensive Entropy Perspective
• H0 tension in Tsallis and Renyi statistics
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• Rényi Holographic Dark Energy Models In Multidimensional Universe
• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• A dynamical systems perspective on the thermodynamics of late-time cosmology
• Mass-to-Horizon Relation and Entropy Beyond the Bekenstein-Hawking Limit
• $q$-Equilibrium of Gas in Spacetime of Multi-horizon Black Holes
• Embolic aspects of black hole entropy
• Phase space analysis of Rényi Holographic dark energy model
• A background independent notion of causality
• Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime
• Thermodynamic Stability of Schwarzschild-de Sitter Black holes with Rényi entropy
• Regularized Black Hole Solution from a New String Cloud Source
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics