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By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

We analyze the near-horizon symmetries of static, axisymmetric, four-dimensional black holes with spherical and toroidal horizon topologies in vacuum general relativity. These black hole solutions, collectively referred to as…

General Relativity and Quantum Cosmology · Physics 2025-09-23 M. M. Akbar , S. M. Modumudi

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 study a system of two charged non-rotating black holes separated by a strut. Using the exact solution of the Einstein-Maxwell equations, which describes this system, we construct a consistent form of the first law of thermodynamics. We…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Pavel Krtouš , Andrei Zelnikov

Black hole thermodynamics has recently witnessed three distinct classification schemes: based on local geometric properties of the temperature function, global topological invariants, and Riemann surface foliations in the complex plane. We…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Shi-Hao Zhang , Shao-Wen Wei , Jing-Fei Zhang , Xin Zhang

We construct a new class of charged rotating solutions of $(n+1)$-dimensional Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the presence of cosmological constant and investigate their properties. These solutions are…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , H. R. Rastegar Sedehi

We examine counterparts of the Reissner-Nordstrom-anti-de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface Sigma of constant negative or zero curvature. When horizons exist, the spacetimes are black holes…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Dieter R. Brill , Jorma Louko , Peter Peldan

Employing higher curvature corrections to Einstein--Maxwell gravity has garnered a great deal of attention motivated by the high energy regime in quantum nature of black hole physics. In addition, one may employ gravity's rainbow to encode…

High Energy Physics - Theory · Physics 2018-04-30 S. H. Hendi , H. Behnamifard , B. Bahrami-Asl

We consider the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman black hole. These two systems are constructed in such a way that we only demand their ``horizon areas'' to be the sum and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Q. Wu

A unified first law of black-hole dynamics and relativistic thermodynamics is derived in spherically symmetric general relativity. This equation expresses the gradient of the active gravitational energy E according to the Einstein equation,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

In Lorentz violating theories of gravitation with a preferred foliation a notion of black hole is still possible, despite the presence of infinitely fast propagating modes. Such event horizons are known as universal horizons. Their…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Stefano Liberati , Costantino Pacilio

We study the thermodynamics of accelerating asymptotically AdS black holes with scalar hair in four-dimensional Einstein-Maxwell-dilaton theories, which can be embedded in gauged supergravities for specific dilaton coupling constants. These…

High Energy Physics - Theory · Physics 2022-11-24 Yi Wang , Jie Ren

We investigate $4D$ Einstein-Gauss-bonnet gravity coupled to exponential electrodynamics in AdS background and found a static, spherically symmetric exact black hole solution. The horizon structure of black hole is discussed. Treating the…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Prosenjit Paul

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

We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and…

High Energy Physics - Theory · Physics 2015-06-23 Hai-Shan Liu , H. Lu

Thermodynamic properties of locally anisotropic (2+1)-black holes are studied by applying geometric methods. We consider a new class of black holes with a constant in time elliptical event horizon which is imbedded in a generalized Finsler…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergiu I. Vacaru

The Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter space. Matter fields in anti-de Sitter space can be in stable equilibrium even if the potential energy is unbounded from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Vanzo

Using numerical and perturbative methods, we construct the first examples of black hole solutions in Einsteinian cubic gravity and study their thermodynamics. Focusing first on four dimensional solutions, we show that these black holes have…

High Energy Physics - Theory · Physics 2017-04-05 Robie A. Hennigar , Robert B. Mann

This paper deals with five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b)Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. The geometry of the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Ritabrata Biswas , Subenoy Chakraborty

We present a modified implementation of the Euclidean action formalism suitable for studying the thermodynamics of a class of cosmological solutions containing Killing horizons. To obtain a real metric of definite signature, we perform a…

High Energy Physics - Theory · Physics 2021-02-17 J. Gutowski , T. Mohaupt , G. Pope