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From nonextensive statistics and black hole entropy to the holographic dark universe

Shin’ichi NojiriDepartment of Physics, Nagoya University, Nagoya 464-8602, JapanSergei D. OdintsovInstitució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluís Companys, 23, 08010 Barcelona, SpainValerio FaraoniDepartment of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Québec J1M 1Z7, Canada
2022en
ABI

Аннотация

We propose a new entropy construct that generalizes the Tsallis, R\'enyi, Sharma-Mittal, Barrow, Kaniadakis, and loop quantum gravity entropies and reduces to the Bekenstein-Hawking entropy in a certain limit. This proposal is applied to the Schwarzschild black hole and to spatially homogeneous and isotropic cosmology, where it is shown that it can potentially describe inflation and/or holographic dark energy.

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