Entropy in the interior of a black hole and thermodynamics

Abstract

Based on a recent proposal for the volume inside a black hole, we calculate the entropy associated with this volume and show that such entropy is proportional to the surface area of the black hole. Together with the consideration of black hole radiation, we find that the thermodynamics associated with the entropy is likely to be caused by the vacuum polarization near the horizon.

References in corpus (5)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• How big is a black hole?
• Black holes: Their large interiors
• Non-local (but also non-singular) physics at the last stages of gravitational collapse
• Never Judge a Black Hole by Its Area

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• Quasinormal Modes and Thermodynamics of Regular Black Holes
• Entropy in the interior of a Kerr black hole
• Entropy corresponding to the interior of a Schwarzschild black hole
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• Interior Volume of Banados-Teitelboim-Zanelli Black Hole
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• Interior volume of ($1+D$) dimensional Schwarzschild black hole
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• Black Hole Information Loss: Some Food for Thoughts
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
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• The information loss problem and Hawking radiation as tunneling
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Information paradox and corrected thermodynamics for black holes
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• The CR Volume for Black Holes and the Corresponding Entropy Variation: A Review
• Maximal hypersurface in a D-dimensional dynamical spacetime
• Gauss-Bonnet entropy and thermal dynamics of RN-AdS black holes
• Information evolution in the interior of an axially symmetric BTZ black hole
• Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string
• Volumetric Maxima to be Attained by a Nonstatic Black Hole
• Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations