English
Related papers

Related papers: A simple theorem to generate exact black hole solu…

200 papers

We consider new regular exact spherically symmetric solutions of a nonminimal Einstein--Yang-Mills theory with a cosmological constant and a gauge field of magnetic Wu-Yang type. The most interesting solutions found are black holes with…

General Relativity and Quantum Cosmology · Physics 2016-01-11 Alexander B. Balakin , José P. S. Lemos , Alexei E. Zayats

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Klimek

In this work, we derive exact solutions for four-dimensional static spherically symmetric black holes and three-dimensional rotating black holes within a Lorentz-violating gravity theory. In this framework, Lorentz symmetry is spontaneously…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Jia-Zhou Liu , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

We obtain the general static, spherically symmetric solution for the Einstein-Maxwell-dilaton system in four dimensions with a phantom coupling for the dilaton and/or the Maxwell field. This leads to new classes of black hole solutions,…

High Energy Physics - Theory · Physics 2009-11-06 Gerard Clement , Julio C. Fabris , Manuel Eleuterio Rodrigues

Exact black hole solutions in the Einstein-Maxwell-scalar theory are constructed. They are the extensions of dilaton black holes in de Sitter or anti de Sitter universe. As a result, except for a scalar potential, a coupling function…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Shuang Yu , Jianhui Qiu , Changjun Gao

Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial…

High Energy Physics - Theory · Physics 2008-11-26 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso

A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nicolás Morales--Durán , Andrés F. Vargas , Paulina Hoyos--Restrepo , Pedro Bargueño

We present a systematic method for constructing static, spherically symmetric regular spacetimes in general relativity satisfying the weak energy condition. Our approach relies on physically reasonable assumptions on the matter energy…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Zi-Liang Wang , Emmanuele Battista

We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

We discuss the existence, stability and classical thermodynamics of four-dimensional, spherically symmetric black hole solutions of the Einstein equations with a conformally coupled scalar field. We review the solutions existing in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elizabeth Winstanley

A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric spacetimes is presented. The metric functions of the solutions are explicitely computed and are simply written in terms of the oblate spheroidal…

General Relativity and Quantum Cosmology · Physics 2009-06-16 Antonio C. Gutiérrez-Piñeres , Guillermo A. González , Viviana M. Viña-Cervantes

An asymptotically flat static solution of Einstein-Maxwell equations which describes the field of two non-extreme Reissner - Nordstr\"om sources in equilibrium is presented. It is expressed in terms of physical parameters of the sources…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Alekseev , V. A. Belinski

A three dimensional black hole solution of Einstein equations with negative cosmological constant coupled to a conformal scalar field is given. The solution is static, circularly symmetric, asymptotically anti-de Sitter and nonperturbative…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Cristian Martinez , Jorge Zanelli

From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional gravity the uniqueness of wide families of exact solutions is established, among them, all…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alberto A. Garcia-Diaz

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss-Bonnet action with a cosmological constant. We show that all the physical solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Melis , S. Mignemi

We derive a variety of exact black hole solutions in a subclass of Horndeski's scalar-tensor theory possessing shift symmetry, $\phi\to\phi+c$, and reflection symmetry, $\phi\to-\phi$. The theory admits two arbitrary functions of…

General Relativity and Quantum Cosmology · Physics 2014-07-09 Tsutomu Kobayashi , Norihiro Tanahashi

In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Fateen Haddad , Nidal Haddad

In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant with cylindrical symmetry to introduce the black hole solution of this model. Here, we solve the Einstein's vacuum field equation, and then we…

General Relativity and Quantum Cosmology · Physics 2023-04-24 Mehdi Sadeghi , Ramin Anvari Asl , Mohammad Shamseh

In this paper, we present three exact solutions to the Einstein field equations, each illustrating different black hole models. The first solution introduces a black hole with a variable equation of state, $P = k(r)\rho$, which can…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Vitalii Vertogradov , Ali Övgün