Area-law versus Rényi and Tsallis black hole entropies

Abstract

The Rényi and Tsallis entropies are discussed as possible alternatives to the Bekenstein-Hawking area-law entropy. It is pointed out how replacing the entropy notion, but not the Hawking temperature and the thermodynamical energy may render the whole black hole thermodynamics inconsistent. The possibility to relate the Rényi and Tsallis entropies with the quantum gravity corrected Bekenstein-Hawking entropy is discussed.

Explanation expanded, one reference added to the bibliography, matches the version to appear in Phys. Rev. D

References in corpus (10)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified cosmology from extended entropy with varying exponent
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Nonsingular black hole chemistry
• Higher Order Corrections to Holographic Black Hole Chemistry
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Renyi entropies of a black hole from Hawking radiation
• How Black Holes Burn
• Double layer in quadratic gravity and least action principle

Cited by in corpus (47)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Constraints on Barrow entropy from M87* and S2 star observations
• Alternative entropies and consistent black hole thermodynamics
• New Tsallis Holographic Dark Energy
• New entropies, black holes, and holographic dark energy
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• The physical meaning of the holographic principle
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• How Barrow Entropy Modifies Gravity: With Comments on Tsallis Entropy
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Macroscopic quantum tunneling: from quantum vortices to black holes and Universe
• Rényi Topology of Charged-flat Black Hole: Hawking-Page and Van-der-Waals Phase Transitions
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Thermodynamics and decay of de Sitter vacuum
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\Lambda$CDM
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Rényi Holographic Dark Energy
• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Look beyond additivity and extensivity of entropy for black hole and cosmological horizons
• Exploring Modifications to FLRW Cosmology with General Entropy and Thermodynamics: A new Approach
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Upper Bound of Barrow Entropy Index from Black Hole Fragmentation
• Transport Equation for Small Systems and Nonadditive Entropy
• Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Particle creation: Schwinger + Unruh + Hawking
• Modified cosmology through generalized mass-to-horizon entropy: observational constraints from DESI DR2 BAO data
• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• Modified cosmology through generalized mass-to-horizon entropy: implications for structure growth and primordial gravitational waves
• Holographic dark energy in a coasting cosmology
• Thermodynamic and observational implications of black holes in toroidal geometry
• A background independent notion of causality
• Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior
• Emergence of the cosmic space inspired by mass-to-horizon entropy
• Scattering entropies of quantum graphs with several channels
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution