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] 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 …

Criticality and topological classes of neutral Gauss–Bonnet AdS black holes in 5D

MU Shahzad, A Mehmood, S Sharif, A Övgün - Annals of Physics, 2023 - Elsevier
This work investigates the thermodynamics, phase transition, and topological classes of
Neutral Gauss–Bonnet (GB) AdS black holes (BHs) in 5D. We obtain equations for several …

Black hole entropy: A closer look

C Tsallis - Entropy, 2019 - mdpi.com
In many papers in the literature, author (s) express their perplexity concerning the fact that
the (3+ 1) black-hole 'thermodynamical'entropy appears to be proportional to its area and …

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 …

[HTML][HTML] Modified cosmology from the thermodynamics of apparent horizon

S Nojiri, SD Odintsov, T Paul - Physics Letters B, 2022 - Elsevier
In the realm of the Bekenstein-Hawking entropy, the thermodynamics of apparent horizon
bridges with the usual FLRW (Friedmann-Lemaître-Robertson-Walker) equation only for a …

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 …

Rényi topology of charged-flat black hole: Hawking-Page and Van-der-Waals phase transitions

F Barzi, H El Moumni, K Masmar - Journal of High Energy Astrophysics, 2024 - Elsevier
In this paper, we extend the proposed setup in Wei et al.(2022); Yerra et al.(2022) for finding
the topological charges associated with the Hawking-Page and Van-der-Waals transition …

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 …

[HTML][HTML] Thermodynamics and phase transition structure of charged black holes in f (R) gravity background from Rényi statistics perception

F Demami, H El Moumni, K Masmar, S Mazzou - Nuclear Physics B, 2023 - Elsevier
In the current study, we investigate the Rényi statistics as an extension of the Boltzmann-
Gibbs theory, in order to characterize the non-Boltzmannian phase structure of charged …