Area-law versus Rényi and Tsallis black hole entropies
Shin’ichi NojiriDepartment of Physics, Nagoya University, Nagoya 464-8602, JapanSergei D. OdintsovDepartment of Physics, Kazan Federal University, Kazan 420008, RussiaValerio FaraoniDepartment of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Québec J1M 1Z7, Canada
2021en
ABI
Annotatsiya
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.
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