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

Shin’ichi Nojiri, Sergei D. Odintsov, and Valerio Faraoni
Phys. Rev. D 105, 044042 – Published 22 February 2022

Abstract

We propose a new entropy construct that generalizes the Tsallis, Rényi, 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.

  • Received 6 January 2022
  • Accepted 31 January 2022

DOI:https://doi.org/10.1103/PhysRevD.105.044042

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Shin’ichi Nojiri1,2, Sergei D. Odintsov3,4,5, and Valerio Faraoni6,5

  • 1Department of Physics, Nagoya University, Nagoya 464-8602, Japan
  • 2Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan
  • 3Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluís Companys, 23, 08010 Barcelona, Spain
  • 4Institute of Space Sciences (IEEC-CSIC), C. Can Magrans s/n, 08093 Barcelona, Spain
  • 5International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics(TUSUR), 634050 Tomsk, Russia
  • 6Department of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Québec J1M 1Z7, Canada

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Issue

Vol. 105, Iss. 4 — 15 February 2022

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