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We study the corrections to the entropy of Einstein-Maxwell dilaton-axion black holes beyond semiclassical approximations. We consider the entropy of the black hole as a state variable and derive these corrections using the exactness…

General Relativity and Quantum Cosmology · Physics 2011-03-25 M. Akbar , K. Saifullah

Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds. We prove a universal relation between the leading corrections to these quantities. The derivation is…

High Energy Physics - Theory · Physics 2020-03-18 Garrett Goon , Riccardo Penco

From the black hole thermodynamics point of view, we show that the entropy function $\mathbf{f}$ and the free energy $F$ are related via $\mathbf{f}=e_{I}q_{I}+\Omega_Hq_I{A_{\phi}^I}'-\frac{\partial F}{\partial r} |_{r_{H}}$. Assuming the…

High Energy Physics - Theory · Physics 2008-05-06 Xian-Hui Ge , Fu-Wen Shu

The leading corrections to General Relativity can be parametrized by higher-derivative interactions in a low-energy effective field theory, in a way that is general and agnostic to the precise UV completion of gravity. Using numerical…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Pedro G. S. Fernandes

Recently, it has been shown that for a dynamical black hole in any higher derivative theory of gravity, one could construct a spatial entropy current, characterizing the in/outflow of entropy at every point on the horizon, as long as the…

High Energy Physics - Theory · Physics 2024-03-13 Sayantani Bhattacharyya , Pooja Jethwani , Milan Patra , Shuvayu Roy

In this paper, we investigate the influence of perfect fluid dark matter and quantum corrections on the thermodynamics of non-linear magnetic-charged black hole. We consider the metric of the static non-linear magnetic-charged black hole in…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Ragil Brand Tsafack Ndongmo , Saleh Mahamat , Thomas Bouetou , Conrad Bertrand Tabi , Timoléon Crépin Kofané

The Renyi entropy coprises a group of data estimates that sums up the well-known Shannon entropy, acquiring a considerable lot of its properties. It appears as unqualified and restrictive entropy, relative entropy, or common data, and has…

General Relativity and Quantum Cosmology · Physics 2023-02-01 H. R. Fazlollahi

In this paper, we consider $(n+1)$-dimensional topological dilaton de Sitter black holes with power-Maxwell field as thermodynamic systems. The thermodynamic quantities corresponding to the black hole horizon and the cosmological horizon…

High Energy Physics - Theory · Physics 2021-05-26 Hui-Hua Zhao , Li-Chun Zhang , Ying Gao , Fang Liu

We derive new cosmological solutions of the ghost-free massive gravity with a general background metric in which the contribution of the mass sector to the metric one is modeled by an effective cosmological constant and an ideal fluid which…

High Energy Physics - Theory · Physics 2014-12-17 Nejat Tevfik Yilmaz

The basic equations of the thermodynamic system give the relationship between the internal energy, entropy and volume of two neighboring equilibrium states. By using the functional relationship between the state parameters in the basic…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Xiong-Ying Guo , Ying Gao , Huai-Fan Li , Ren Zhao

We explore the thermodynamic and entanglement properties of dynamical black holes based on the recently proposed dynamical black hole entropy by Hollands-Wald-Zhang. We first provide direct proof that, under first-order perturbations, the…

High Energy Physics - Theory · Physics 2026-05-20 Weizhen Jia , Qiongyu Qi , Christina Gao

This thesis is divided in two parts, each one addressing problems that can be relevant in the study of compact objects. The first part deals with the study of a magnetized and self-gravitating gas of degenerated fermions (electrons and…

High Energy Physics - Theory · Physics 2011-03-10 A. Ulacia Rey

We propose a new formula for the entropy of a dynamical black hole$-$valid to leading order for perturbations off of a stationary black hole background$-$in an arbitrary classical diffeomorphism covariant Lagrangian theory of gravity in $n$…

High Energy Physics - Theory · Physics 2024-04-02 Stefan Hollands , Robert M. Wald , Victor G. Zhang

The growing interest of different entropy functions proposed so far (like the Bekenstein-Hawking, Tsallis, R\'{e}nyi, Barrow, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies) towards black hole thermodynamics as well as towards…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Sergei D. Odintsov , Tanmoy Paul

Many inequivalent approaches to study black holes yield identical results. Any meaningful theory of gravity should explain the origin of this property. Here we show that the basic holomorphic modes characterising the underlying two…

General Relativity and Quantum Cosmology · Physics 2011-01-31 Rabin Banerjee

Recently, Barrow accounts for the quantum gravitational effects to the black hole surface. Thus the conventional area-entropy relation has modified, $S=(A/A_{0})^{1+\Delta/2},$ with an exponent $\Delta$, ranges $0\le\Delta\le1$, quantifies…

General Relativity and Quantum Cosmology · Physics 2023-02-06 Nandhida Krishnan. P , Titus K Mathew

The thermodynamic properties of black holes have been extensively studied through analogies with classical systems, revealing fundamental connections between gravitation, entropy, and quantum mechanics. In this work, we extend the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 S. D Campos

Considerable interest has recently been expressed in the entropy versus area relationship for ``dirty'' black holes --- black holes in interaction with various classical matter fields, distorted by higher derivative gravity, or infested…

High Energy Physics - Theory · Physics 2009-10-22 Matt Visser

Einstein's equation could be interpreted as the first law of thermodynamic near the spherically symmetric horizon. Through recalling the Einstein gravity with a more general static spherical symmetric metric, we find that the entropy would…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Miao He , Zi-Liang Wang , Chao Fang , Dao-Quan Sun , Jian-Bo Deng

We determine the corrections to the entropy of extremal black holes arising from terms quadratic in the Riemann tensor in $N=2, D=4$ supergravity theories. We follow Wald's proposal to modify the Bekenstein-Hawking area law. The new entropy…

High Energy Physics - Theory · Physics 2015-06-26 Gabriel Lopes Cardoso , Bernard de Wit , Thomas Mohaupt
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