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

S Nojiri, SD Odintsov, V Faraoni - Physical Review D, 2022 - APS
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 …

[HTML][HTML] Tsallis holographic dark energy

M Tavayef, A Sheykhi, K Bamba, H Moradpour - Physics Letters B, 2018 - Elsevier
Employing the modified entropy–area relation suggested by Tsallis and Cirto [1], and the
holographic hypothesis, a new holographic dark energy (HDE) model is proposed …

[HTML][HTML] Thermodynamic topology of Kerr-Sen black holes via Rényi statistics

MY Zhang, H Chen, H Hassanabadi, ZW Long, H Yang - Physics Letters B, 2024 - Elsevier
In the present study, we investigate the topological properties of black holes in terms of
Rényi statistics as an extension of the Gibbs-Boltzmann (GB) statistics, aiming to …

Generalized entropies and corresponding holographic dark energy models

H Moradpour, AH Ziaie, MK Zangeneh - The European Physical Journal C, 2020 - Springer
Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of
black holes is achieved, a result in full agreement with a recent study (Mejrhit and Ennadifi in …

Area-law versus Rényi and Tsallis black hole entropies

S Nojiri, SD Odintsov, V Faraoni - Physical Review D, 2021 - APS
The Rényi 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 …

Topology of black hole thermodynamics via Rényi statistics

CW Tong, BH Wang, JR Sun - The European Physical Journal C, 2024 - Springer
In this paper, we investigate the topological numbers of the four-dimensional Schwarzschild
black hole, d-dimensional Reissner–Nordström (RN) black hole, d-dimensional singly …

P− v criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics

GG Luciano, EN Saridakis - Journal of High Energy Physics, 2023 - Springer
A bstract Boltzmann entropy-based thermodynamics of charged anti-de Sitter (AdS) black
holes has been shown to exhibit physically interesting features, such as P− V criticalities and …

Growth of perturbations in Tsallis and Barrow cosmology

A Sheykhi, B Farsi - The European Physical Journal C, 2022 - Springer
We report the effects of entropic corrections to the Friedmann equations on the growth of
perturbations in the early stages of the universe. We consider two types of corrections to the …

[HTML][HTML] Non-extensive statistical mechanics and black hole entropy from quantum geometry

A Majhi - Physics Letters B, 2017 - Elsevier
Using non-extensive statistical mechanics, the Bekenstein–Hawking area law is obtained
from microstates of black holes in loop quantum gravity, for arbitrary real positive values of …

Generalized uncertainty principle impact on nonextensive black hole thermodynamics

I Çimdiker, MP Dabrowski, H Gohar - Classical and Quantum …, 2023 - iopscience.iop.org
The effect of the generalized uncertainty principle (GUP) on nonextensive thermodynamics
applied to black holes, as well as the sparsity of the radiation at different temperatures …