Equilibrium Temperature for Black Holes with Nonextensive Entropy

Abstract

Hawking temperature has been widely utilised in the literature as the temperature that corresponds to various nonextensive entropies. In this study, we analyze the compatibility of the Hawking temperature with the nonextensive entropies. We demonstrate that, for every nonextensive entropy, one may define an effective temperature (which we call equilibrium temperature) by utilizing the equilibrium condition, and that there is always an additive equilibrium entropy associated with this effective temperature. Except for Bekenstein entropy, we show that Hawking temperature is thermodynamically inconsistent with other nonextensive entropies. We focus on the equilibrium requirement for the Tsallis-Cirto black hole entropy and demonstrate that the Bekenstein-Hawking entropy is the related equilibrium entropy, and the Hawking temperature is the associated equilibrium temperature for the Tsallis-Cirto black hole entropy.

19 pages, some sections merged, accepted for publication in Eur. Phys. J. C

References in corpus (19)

• Entropic Accelerating Universe
• Friedmann Equations from Entropic Force
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Zeroth Law compatibility of non-additive thermodynamics
• Area-law versus Rényi and Tsallis black hole entropies
• Geometrical observational bounds on a fractal horizon holographic dark energy
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Baryon asymmetry from Barrow entropy: theoretical predictions and observational constraints
• Alternative entropies and consistent black hole thermodynamics
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Observational constraints of the modified cosmology through Barrow entropy
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• q-generalized Tsallis thermostatistics in Unruh effect for mixed fields
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
• Barrow black holes and the minimal length
• The spectrum of Hawking radiation in Tsallis statistical mechanics
• Zeroth Law in Quantum Thermodynamics at Strong Coupling: `in Equilibrium', not `Equal Temperature'

Cited by in corpus (19)

• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Rényi Topology of Charged-flat Black Hole: Hawking-Page and Van-der-Waals Phase Transitions
• A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\Lambda$CDM
• 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
• Rényi Holographic Dark Energy
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Look beyond additivity and extensivity of entropy for black hole and cosmological horizons
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Multiple quantum harmonic oscillators in the Tsallis statistics
• Universal Relations with the Non-Extensive Entropy Perspective
• Bounded compactness from G(E)UP
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Non-Gaussian Saha's ionization in Rindler spacetime and the equivalence principle
• Mass-to-Horizon Relation and Entropy Beyond the Bekenstein-Hawking Limit
• Relation between the escort average in microcanonical ensemble and the escort average in canonical ensemble in the Tsallis statistics
• A possible correction of the Saha curve for non-equilibrium states
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
• Emergence of the cosmic space inspired by mass-to-horizon entropy