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In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a…

High Energy Physics - Theory · Physics 2014-01-28 Natacha Altamirano , David Kubiznak , Robert B. Mann , Zeinab Sherkatghanad

In both canonical ensemble and grand canonical ensemble, the thermodynamic stability and phase structure of Einstein-Euler-Heisenberg-AdS black hole are studied. We derive the Hawking temperature, Helmholtz free energy, Gibbs potential,…

High Energy Physics - Theory · Physics 2025-01-24 Yinan Zhao , Hongbo Cheng

Inspired by the recent studies on the thermodynamics of AdS black holes in the restricted phase space formalism, we propose a similar formalism for the thermodynamics of non-AdS black holes with variable Newton constant. It is shown that,…

High Energy Physics - Theory · Physics 2022-02-08 Tao Wang , Liu Zhao

In this paper we consider three dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell,…

General Relativity and Quantum Cosmology · Physics 2017-10-23 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah

The phase structure and critical phenomena of the 3+1 dimensional charged black holes in asymptotically flat spacetime are investigated in terms of thermodynamic properties within the R\'enyi statistics. With this approach as the…

High Energy Physics - Theory · Physics 2020-09-16 Chatchai Promsiri , Ekapong Hirunsirisawat , Watchara Liewrian

We consider an Einstein-Gauss-Bonnet massive gravity model in $4D$ AdS spacetime to obtain a possible black hole solution and discuss the horizon structure of this black hole. The real roots of the vanishing metric function lead to various…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Sudhaker Upadhyay , Dharm Veer Singh

The Zeroth and First Laws of Black Hole Mechanics are derived in the context of non-linear electrodynamics coupled to gravity. The Zeroth Law is shown to hold quite generally even if the Dominant Energy Condition is violated. The derivation…

High Energy Physics - Theory · Physics 2016-09-06 D. A. Rasheed

In this article, we revisit the thermodynamics of Hayward black holes [1] in asymptotic flat spacetime and obtain the bounds on the final mass post merger after head-on collision event of two equal mass black holes. We revisit thermal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Neeraj Kumar , Ankur Srivastav , Phongpichit Channuie

Black holes are some of the most interesting objects in the universe. While they first arise in the complicated behavior of general relativity, the physical laws ruling their behavior are surprisingly simple. For example, one of the core…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Caio César Rodrigues Evangelista , Níckolas de Aguiar Alves

In this paper, we investigated the thermodynamic properties of Schwarzschild black hole (SBH) in the non-commutative (NC) gauge theory of gravity. According to our previous work, we modify the first law of the black hole (BH) thermodynamics…

General Relativity and Quantum Cosmology · Physics 2023-10-06 Abdellah Touati , Slimane Zaim

When the cosmological constant, $\Lambda$, is interpreted as a thermodynamic variable in the study of black hole thermodynamics a very rich structure emerges. It is natural to interpret $\Lambda$ as a pressure and define the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Brian P. Dolan

We study the thermodynamics of a class of four-dimensional black hole solutions arising from the compactification of a higher-curvature gravity theory featuring an infinite tower of Lovelock-type invariants. For planar horizons, we identify…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Adolfo Cisterna , Mokhtar Hassaine , Ulises Hernandez-Vera

In this paper, we consider quadratic Maxwell invariant as a correction to the Maxwell theory and study thermodynamic behavior of the black holes in Einstein and Gauss-Bonnet gravities. We consider cosmological constant as a thermodynamic…

General Relativity and Quantum Cosmology · Physics 2016-05-25 S. H. Hendi , S. Panahiyan , M. Momennia

The first law of thermodynamics at black hole horizons is known to be obtainable from the gravitational field equations. A recent study claims that the contributions at inner horizons should be considered in order to give the conventional…

General Relativity and Quantum Cosmology · Physics 2014-10-20 Yan-Gang Miao , Fang-Fang Yuan , Zheng-Zheng Zhang

The present paper is aimed to study thermodynamical properties of phase transition for regular charged black holes. In this context, we have considered two different forms of black hole metrics supplemented with exponential and logistic…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Wajiha Javed , Z. Yousaf , Zunaira Akhtar

As one of candidate theories in the construction of regular black holes, Einstein's gravity coupled with nonlinear electrodynamics has been a topic of great concerns. Owing to the coupling between Einstein's gravity and nonlinear…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Yang Guo , Hao Xie , Yan-Gang Miao

We investigate the thermodynamic properties of 5D static and spherically symmetric black holes in (i) Einstein-Maxwell-Gauss-Bonnet theory, (ii) Einstein-Maxwell-Gauss-Bonnet theory with negative cosmological constant, and in (iii)…

Mathematical Physics · Physics 2015-05-27 Safia Taj , Hernando Quevedo , Alberto Sanchez

We present a class of charged black hole solutions in an ($n+2)$-dimensional massive gravity with a negative cosmological constant, and study thermodynamics and phase structure of the black hole solutions both in grand canonical ensemble…

High Energy Physics - Theory · Physics 2015-01-27 Rong-Gen Cai , Ya-Peng Hu , Qi-Yuan Pan , Yun-Long Zhang

We uncover the thermodynamical properties of a class of non-asymptotically flat geometries, referred here as the Kerr effective geometries, that realize the hidden symmetries of Kerr black hole spacetimes via Teukolsky's equation in the…

High Energy Physics - Theory · Physics 2024-10-25 Nelson Hernández Rodríguez , Maria J. Rodriguez

The extended thermodynamics of Reissner-Nordstr\"om charged black holes in D-dimensional anti-de Sitter spacetime has a phase structure in the (T,p) plane that includes a line of first order phase transitions ending in a second order…

High Energy Physics - Theory · Physics 2018-12-07 Clifford V. Johnson