Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
arXiv:2002.00377 · doi:10.1140/epjp/s13360-020-00517-2
Abstract
Schwarzschild black holes in a de Sitter background were studied in terms of their thermodynamics based on the Rényi statistics. This led to thermodynamically stable black hole configurations for some certain range of black hole radii; namely within this range the corresponding black holes have positive heat capacity. Moreover, for a certain background temperature there can exist at most three configurations of black hole; one among which is thermodynamically stable. These configurations were investigated in terms of their free energies, resulting in the moderate-sized stable black hole configuration being the most preferred configuration. Furthermore, a specific condition on the Rényi non-extensive parameter is required if a given hot spacetime were to evolve thermally into the moderate-sized stable black hole.
arXiv comment19 pages, 7 figures
References in corpus (23)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
- Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
- Black hole chemistry: thermodynamics with Lambda
- Energy in Generic Higher Curvature Gravity Theories
- Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
- Rényi entropy and the thermodynamic stability of black holes
- Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
- Thermodynamics of horizons: de Sitter black holes and reentrant phase transitions
- Zeroth Law compatibility of non-additive thermodynamics
- New Energy Definition for Higher Curvature Gravities
- de Sitter Black Holes with Either of the Two Horizons as a Boundary
- Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
- Critical Phenomena of Charged de Sitter Black Holes in Cavities
- Reverse Hawking-Page Phase Transition in de Sitter Black Holes
- Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
- A note on entropy of de Sitter black holes
- Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
- Existence condition and phase transition of Reissner-Nordström-de Sitter black hole
- Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
- Thermodynamic properties of black holes in de Sitter space
- Thermodynamics of de Sitter black hole in massive gravity
- Entropy of higher-dimensional topological dS black holes with nonlinear source
Cited by in corpus (28)
- Area-law versus Rényi and Tsallis black hole entropies
- Modified cosmology from the thermodynamics of apparent horizon
- Alternative entropies and consistent black hole thermodynamics
- New entropies, black holes, and holographic dark energy
- Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
- Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
- Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
- Equilibrium Temperature for Black Holes with Nonextensive Entropy
- Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
- Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
- Black Hole Chemistry: the first 15 years
- Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
- On Rényi universality formula of charged flat black holes from Hawking-Page phase transition
- Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
- Rényi Holographic Dark Energy
- On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
- Generalized black hole entropy in two dimensions
- Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
- AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
- Black Hole Thermodynamics via Tsallis Statistical Mechanics
- Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
- Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
- -Equilibrium of Gas in Spacetime of Multi-horizon Black Holes
- Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime
- Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior
- Dominant Spacetime in Three Dimensional de Sitter Gravity
- Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
- Thermodynamic Stability of Schwarzschild-de Sitter Black holes with Rényi entropy