Area-law versus Rényi and Tsallis black hole entropies
Shin’ichi Nojiri, Sergei D. Odintsov, Valerio Faraoni
Abstract
The R\'enyi 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 R\'enyi and Tsallis entropies with the quantum gravity corrected Bekenstein-Hawking entropy is discussed.
Topics & Concepts
Tsallis entropyHawkingBlack hole thermodynamicsEntropy (arrow of time)PhysicsThermodynamicsStatistical physicsTheoretical physicsMathematical physicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories