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Barrow and Tsallis Holographic Dark Energy (HDE) are two recent extensions of the standard HDE framework, obtained by introducing generalized entropy corrections through the Barrow and Tsallis formalisms. In this work, we examine the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 G. G. Luciano , A. Paliathanasis , G. Leon , A. Sheykhi , M. Motaghi

We construct a new class of entanglement measures named "rotating R\'enyi entropy" by the holographic calculation of a rotating topological black hole belonging to the Petrov type-D class, we compute this kind of entropy for a spherical…

High Energy Physics - Theory · Physics 2022-07-26 Bin He

Recently Tsallis cosmology has been presented as a novel proposal for alleviating both $H_0$ and $\sigma_8$ tensions. Hence a universe filled with matter and radiation as perfect fluids and considering the Tsallis entropy is confronted…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-23 M. L. Mendoza-Martínez , A. Cervantes-Contreras , J. J. Trejo-Alonso , A. Hernandez-Almada

In this work we explore some cosmological properties coming from the particle and future horizons when are considered as candidates to model the dark energy sector within a holographic context in a flat Friedmann-Lemaitre-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Miguel Cruz , Samuel Lepe

We perform a comprehensive cosmographic analysis of Friedmann cosmologies modified by non-extensive entropy frameworks, focusing on Tsallis, R\'enyi, and Kaniadakis entropies within a novel modified energy-momentum tensor approach. In our…

General Relativity and Quantum Cosmology · Physics 2025-09-30 A. Khodam-Mohammadi , M. Monshizadeh

The Tsallis-Cirto non-extensive statistics with $\delta=2$ describes the processes of splitting and merging of black holes and their thermodynamics. Here we consider a toy model, which matches this generalized statistics and extends it by…

General Relativity and Quantum Cosmology · Physics 2025-07-25 G. E. Volovik

We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black…

High Energy Physics - Theory · Physics 2023-05-31 Gabriel Arenas-Henriquez , Felipe Diaz , Yerko Novoa

We study the entropy of a FRW universe filled with dark energy (cosmological constant, quintessence or phantom). For general or time-dependent equation of state $p=w\rho$ the entropy is expressed in terms of energy, Casimir energy, and $w$.…

High Energy Physics - Theory · Physics 2009-01-14 Iver Brevik , Shin'ichi Nojiri , Sergei D. Odintsov , Luciano Vanzo

Recent observational evidences point out towards a late time acceleration of the universe. In order to study the accelerated expansion, scientists have incorporated the existence of an exotic matter with negative pressure, termed as dark…

General Relativity and Quantum Cosmology · Physics 2025-08-13 Santanu Das , Nilanjana Mahata

We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein-Hawking one. The former is a one-parameter…

General Relativity and Quantum Cosmology · Physics 2021-12-07 Andreas Lymperis , Spyros Basilakos , Emmanuel N. Saridakis

By extending the standard holographic principle to a cosmological framework and combining the non-flat condition with the Kaniadakis entropy, we construct the non-flat Kaniadakis holographic dark energy model. The model employs Kaniadakis…

General Physics · Physics 2023-02-24 Suresh Kumar P , Bramha Dutta Pandey , Umesh Kumar Sharma , Pankaj

The statistical mechanics of self-gravitating systems has not been well understood, and still remains an open question so far. In a previous study by Kang & He, we showed that the fluid approximation may give a clue to further investigate…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-23 Dong-Biao Kang , Ping He

In this paper, we investigate the dark energy phenomenon by studying the Tsallis holographic dark energy within the framework of Brans-Dicke (BD) scalar-tensor theory of gravity [Phys. Rev. \textbf{124}, 925 (1961)]. In this context, we…

General Relativity and Quantum Cosmology · Physics 2019-12-20 Y Aditya , Sanjay Mandal , P. K. Sahoo , D. R. K. Reddy

Tsallis and R\'{e}nyi entropy measures are two possible different generalizations of the Boltzmann-Gibbs entropy (or Shannon's information) but are not generalizations of each others. It is however the Sharma-Mittal measure, which was…

Statistical Mechanics · Physics 2014-10-13 Marco Masi

We explore the cosmological implications of generalized entropic models within the framework of Gravity-Thermodynamics (GT) approaches. These models, characterized by three or four additional free parameters, are designed to capture…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-06 Udit K. Tyagi , Sandeep Haridasu , Soumen Basak

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. P. Badiali

We study the entropy relations of multi-horizons black holes in higher dimensional (A)dS spacetime with maximal symmetries, including Einstein-Maxwell gravity and $f(R)$(-Maxwell) gravity. These additional equalities in thermodynamics are…

General Relativity and Quantum Cosmology · Physics 2014-03-04 Jia Wang , Wei Xu , Xin-he Meng

Generalized entropy, that has been recently proposed, puts all the known and apparently different entropies like The Tsallis, the R\'{e}nyi, the Barrow, the Kaniadakis, the Sharma-Mittal and the loop quantum gravity entropy within a single…

General Relativity and Quantum Cosmology · Physics 2023-11-08 Shin'ichi Nojiri , Sergei D. Odintsov , Tanmoy Paul

In this work, we study the evolution of a fractal universe composed of Tsallis holographic dark energy (THDE) and a pressureless dark matter that interact with each other through a mutual interaction. We then reconstruct the interaction…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Abdulla Al Mamon

The growing cosmological interest of different entropy functions (like the Tsallis entropy, the R\'{e}nyi entropy, the Barrow entropy, the Sharma-Mittal entropy, the Kaniadakis entropy and the Loop Quantum gravity entropy) naturally raises…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Sergei D. Odintsov , Simone D'Onofrio , Tanmoy Paul
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