Alternative entropies and consistent black hole thermodynamics

Abstract

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (Rényi, Tsallis, and generalized constructs) abound in the literature. We explore conditions under which they are part of a consistent horizon thermodynamics for certain classes of modified gravity black holes. We provide examples in which black hole masses and temperatures going hand-in-hand with these alternative entropies coincide with their usual counterparts associated with the Bekenstein-Hawking entropy.

20 pages, LateX, to appear in Int. J. Geom. Meth. Mod. Phys

References in corpus (6)

• Modified cosmology from extended entropy with varying exponent
• The use of Generalised Functions and Distributions in General Relativity
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Area-law versus Rényi and Tsallis black hole entropies
• Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe
• Quantization of time and the big bang via scale-invariant loop gravity