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This study investigates the thermodynamics of phantom BTZ black holes by incorporating leading-order perturbative corrections arising from small statistical fluctuations around equilibrium. Starting from the phantom BTZ black holes review,…

High Energy Physics - Theory · Physics 2025-08-26 Kumar Sambhav Upadhyay , Sudhaker Upadhyay , Bhabani Prasad Mandal

We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Behnam Pourhassan , Seyed Hossein Hendi , Sudhaker Upadhyay , Izzet Sakalli , Emmanuel N. Saridakis

In this work some proposals for black hole entropy interpretation are exposed and investigated. In particular I will firstly consider the so called ``entanglement entropy" interpretation, in the framework of the brick wall model, and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Liberati

We apply the full set of most update dynamical and geometrical data in cosmology to the nonextensive Barrow entropic holographic dark energy. We show that the data point towards an extensive Gibbs-like entropic behaviour for the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-22 Tomasz Denkiewicz , Vincenzo Salzano , Mariusz P. Dabrowski

The effects of thermal fluctuations of the mass (horizon area) and electric charge, on the entropy of non-rotating charged {\it macroscopic} black holes, are analyzed using a grand canonical ensemble. Restricting to Gaussian fluctuations…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ashok Chatterjee , Parthasarathi Majumdar

We analyze geometrothermodynamics of charged anti-de Sitter (AdS) black holes with a global monopole in the framework of Tsallis statistics. The latter arises from a non-additive generalization of Boltzmann-Gibbs entropy, which is still…

High Energy Physics - Theory · Physics 2024-12-17 Giuseppe Gaetano Luciano , Ahmad Sheykhi

We present modified cosmological scenarios that arise from the application of the "gravity-thermodynamics" conjecture, using the Barrow entropy instead of the usual Bekenstein-Hawking one. The former is a modification of the black hole…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Emmanuel N. Saridakis

In this paper, starting from the modified Einstein field equations, we derive the modified scalar spectral index $n_{s}$ and the modified tensor-to-scalar ratio $r$ in Barrow entropy model, calculate their values for the power-law,…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Qihong Huang , Li-Yang Chen , He Huang , Bing Xu , Kaituo Zhang

We consider the thermodynamic properties of the constant curvature black hole solution recently found by Banados. We show that it is possible to compute the entropy and the quasilocal thermodynamics of the spacetime using the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Jolien D. E. Creighton , Robert B. Mann

In this paper we consider the generalized uncertainty principle (GUP) in the tunneling formalism via Hamilton-Jacobi method to determine the quantum-corrected Hawking temperature and entropy for noncommutative BTZ black hole. In our results…

High Energy Physics - Theory · Physics 2018-01-23 M. A. Anacleto , F. A. Brito , E. Passos , A. G. Cavalcanti , J. Spinelly

This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a {\it space-fractional} derivative \cite{Rie} as our main tool. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2021-07-27 S. Jalalzadeh , F. Rodrigues da Silva , P. V. Moniz

In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy $S_{BH}$. We study the possible configurations depending on…

High Energy Physics - Theory · Physics 2017-07-24 Stefano Viaggiu

The R\'enyi 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 Hawking temperature and the thermodynamical energy may…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

In the present paper, the quantum corrections to the temperature, entropy and specific heat capacity of the charged non-rotating BTZ black hole are studied by generalized uncertainty principle in tunneling formalism. It is shown that…

High Energy Physics - Theory · Physics 2019-02-04 Jafar Sadeghi , Vahid Reza Shajiee

It has been shown by explicit and exact calculation that whenever we have taken the \emph{effects of stable thermal fluctuations} the entropy product formula should \emph{not be mass-independent} nor \emph{does it quantized}. It has been…

General Relativity and Quantum Cosmology · Physics 2016-06-28 Parthapratim Pradhan

In this paper, we investigate the emergent thermodynamic phenomena arising from spacetime foam and its impact on black hole behavior. Within this framework, we adopt the Barrow model, where the structure of spacetime at small scales is…

High Energy Physics - Theory · Physics 2025-07-15 Yahya Ladghami , Aatifa Bargach , Amine Bouali , Touafik Ouali , Ghulam Mustafa

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 associated with each nonextensive entropy, is investigated.…

General Relativity and Quantum Cosmology · Physics 2023-07-21 Ilim Cimidiker , Mariusz P. Dabrowski , Hussain Gohar

Barrow proposed that the area law of the entropy associated with a horizon might receive a "fractal correction" due to quantum gravitational effects -- in place of $S\propto A$, we have instead $S\propto A^{1+\delta/2}$, where $0\leqslant…

General Relativity and Quantum Cosmology · Physics 2022-10-25 Sofia Di Gennaro , Yen Chin Ong

In this paper, we use the holographic principle to obtain a modified metric of black holes that reproduces the exponentially corrected entropy. The exponential correction of the black hole entropy comes from non-perturbative corrections. It…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Behnam Pourhassan , Hoda Farahani , Farideh Kazemian , İzzet Sakallı , Sudhaker Upadhyay , Dharm Veer Singh

We investigate further the recent analysis \cite{R.Banerjee2}, based on a Hamilton-Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how non spherically symmetric…

High Energy Physics - Theory · Physics 2009-01-16 Sujoy Kumar Modak
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