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 …

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 …

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 …

Emergent phase, thermodynamic geometry, and criticality of charged black holes from Rényi statistics

C Promsiri, E Hirunsirisawat, R Nakarachinda - Physical Review D, 2022 - APS
Recently, a novel emergent phase can occur from thermodynamic consideration of the
asymptotically flat Reissner-Nordström black hole (RN-AF) using Rényi statistics. We …

Solid-liquid phase transition and heat engine in an asymptotically flat Schwarzschild black hole via the Rényi extended phase space approach

C Promsiri, E Hirunsirisawat, W Liewrian - Physical Review D, 2021 - APS
Recently, it has been found that, with the Rényi statistics, the asymptotically flat
Schwarzschild black hole can be in thermal equilibrium with infinite heat reservoir at a fixed …

Alternative entropies and consistent black hole thermodynamics

S Nojiri, SD Odintsov, V Faraoni - International Journal of Geometric …, 2022 - World Scientific
While the Bekenstein–Hawking entropy is the unique notion of entropy that makes classical
black hole thermodynamics consistent, alternative entropy notions (Rényi, Tsallis, and …

[HTML][HTML] On Rényi universality formula of charged flat black holes from Hawking-Page phase transition

F Barzi, H El Moumni - Physics Letters B, 2022 - Elsevier
Probing the thermodynamic properties of the Hawking-Page phase transition of
asymptotically-flat black holes in Rényi statistics. We reveal the evidence for the persisting of …