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We review recent studies of contact and thermodynamic geometry for black holes in AdS spacetimes in the extended thermodynamics framework. The cosmological constant gives rise to the notion of pressure $P = -\Lambda / 8 \pi$ and,…

General Relativity and Quantum Cosmology · Physics 2023-02-10 Aritra Ghosh , Chandrasekhar Bhamidipati

In this work we define a new limiting procedure that extends the usual thermodynamics treatment of Black Hole physics, to the supersymmetric regime. This procedure is inspired on equivalent statistical mechanics derivations in the dual CFT…

High Energy Physics - Theory · Physics 2009-11-11 Pedro J. Silva

We study thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of the temperature and conditions regarding the stability of these black…

High Energy Physics - Theory · Physics 2017-06-13 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. S. Talezadeh

We extend an earlier investigation of the thermodynamics of static black holes in an Einstein-Horndeski theory of gravity coupled to a scalar field, by including now an elec- tromagnetic field as well. By studying the two-parameter families…

High Energy Physics - Theory · Physics 2016-02-17 Xing-Hui Feng , Hai-Shan Liu , H. Lü , C. N. Pope

We show that the free energy $\mathcal{F}$ and temperature $T$ of black holes, considered as a thermodynamic system, can be viewed as an $A$-discriminant of an appropriately-defined polynomial. As such, mathematical results about…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Mounir Nisse , Yen-Kheng Lim , Linus Chang

In this work the \textit{chemistry} of asymptotically AdS black hole, charged and uncharged, solutions of Pure Lovelock gravity is discussed. For this the mass parameter of black holes is identified with the enthalpy of the system together…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Milko Estrada , Rodrigo Aros

This thesis is focussed to study various aspects of black hole physics. Our approach is a semi-classical type, where the spacetime geometry of black holes is considered to be classical but the fields moving in the background are quantum in…

General Relativity and Quantum Cosmology · Physics 2012-09-18 Sujoy Kumar Modak

Black shells have been proposed as black hole mimickers, i.e. horizonless ultra-compact objects that replace black holes. In this paper, we assume the existence of black shells and consider their thermodynamic properties, but remain…

High Energy Physics - Theory · Physics 2025-06-04 Ulf Danielsson , Vyshnav Mohan , Larus Thorlacius

We analyse in detail the thermodynamics in the canonical and grand canonical ensembles of a class of non-asymptotically flat black holes of the Einstein-(anti) Maxwell-(anti) Dilaton theory in 4D with spherical symmetry. We present the…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Manuel E. Rodrigues , Glauber Tadaiesky Marques

A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the Reissner-Nordstr\"{o}m solution. At…

General Physics · Physics 2018-03-07 S. I. Kruglov

In the context of extended phase space thermodynamics and the AdS-CFT correspondence, we consider the chemical potential ($\mu$) dual to the number of colours ($N$) of the boundary gauge theory, in the grand canonical ensemble. By…

High Energy Physics - Theory · Physics 2017-01-04 Reevu Maity , Pratim Roy , Tapobrata Sarkar

The discovery of new four-dimensional black hole solutions presents a new approach to understand the Gauss-Bonnet gravity in low dimensions. In this paper, we test the Gauss-Bonnet gravity by studying the phase transition and…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Shao-Wen Wei , Yu-Xiao Liu

In extended black hole thermodynamics, the cosmological constant and other couplings are treated as thermodynamic variables, yielding the first law $\tilde{\delta}M = T\tilde{\delta}S+\Omega\tilde{\delta}J +\mathcal{V}…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Yong Xiao , Yu-Xiao Liu , Yu Tian , Hongbao Zhang

Thermodynamics of a large family of black holes from electrovacuum solutions of Einstein's equations is studied. This family includes rotating and non-accelerating black holes with NUT charge, and rotating and accelerating black holes. The…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Muhammad Bilal , K. Saifullah

The variational problem of gravity theories is directly related to black hole thermodynamics. For asymptotically locally AdS backgrounds it is known that holographic renormalization results in a variational principle in terms of equivalence…

High Energy Physics - Theory · Physics 2016-04-20 Ok Song An , Mirjam Cvetič , Ioannis Papadimitriou

In gauge invariant theories, like Einstein-Maxwell theory, physical observables should be gauge invariant. In particular, mass, entropy, angular momentum, electric charge and their respective chemical potentials, temperature, horizon…

High Energy Physics - Theory · Physics 2022-11-21 K. Hajian , M. M. Sheikh-Jabbari , B. Tekin

We discuss the thermodynamics of recently constructed three-dimensional higher spin black holes in SL(N,R)\times SL(N,R) Chern-Simons theory with generalized asymptotically-anti-de Sitter boundary conditions. From a holographic perspective,…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Juan I. Jottar

On the basis of horizon thermodynamics we study the thermodynamic stability of black holes constructed in general relativity and Gauss-Bonnet gravity. In the framework of horizon thermodynamics there are only five thermodynamic variables…

General Relativity and Quantum Cosmology · Physics 2015-11-12 Meng-Sen Ma , Ren Zhao

We investigate the thermodynamical properties of black holes in (3+1) and (2+1) dimensional Einstein gravity with a negative cosmological constant. In each case, the thermodynamic internal energy is computed for a finite spatial region that…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. D. Brown , J. Creighton , R. B. Mann

Employing a new approach toward thermodynamic phase space, we investigate the phase transition, critical behavior and microscopic structure of higher dimensional black holes in an Anti-de Sitter (AdS) background and in the presence of…

General Physics · Physics 2020-03-25 Ahmad Sheykhi , Mohammad Arab , Zeinab Dayyani , Amin Dehyadegari