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We construct spherically symmetric and static solutions in $F(R)$ gravity coupled with electromagnetic fields. The solutions include new types of black holes with electric and magnetic charges. We show that the higher-derivative terms make…

General Relativity and Quantum Cosmology · Physics 2023-03-22 G. G. L. Nashed , S. Nojiri

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the search of more realistic axially…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Sebastian Bahamonde , Alexey Golovnev , María-José Guzmán , Jackson Levi Said , Christian Pfeifer

We present a spherically symmetric and static exact solution of Quantum Einstein Equations. This solution is asymptotically (for large $r$) identical with the black hole solution on the anti--De Sitter background and, for some range of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 J. Kowalski - Glikman

We present a survey of the known cosmological and black hole solutions in ghost-free bigravity and massive gravity theories. These can be divided into three classes. First, there are solutions with proportional metrics, which are the same…

High Energy Physics - Theory · Physics 2015-06-15 Mikhail S. Volkov

A class of metrics solving Einstein's equations with negative cosmological constant and representing rotating, topological black holes is presented. All such solutions are in the Petrov type-$D$ class, and can be obtained from the most…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Klemm , V. Moretti , L. Vanzo

Considering cylindrical topology we present the static solution for a charged black hole in conformal gravity. We show that unlike the general relativistic case there are two different solutions, both including a factor that when set to…

General Relativity and Quantum Cosmology · Physics 2013-01-07 Jackson Levi Said , Joseph Sultana , Kristian Zarb Adami

A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is…

High Energy Physics - Theory · Physics 2009-10-31 M. Cataldo , N. Cruz , S. del Campo , A. Garcia

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background. This theory allows the existence of a static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Antonio De Felice , Shinji Tsujikawa

In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic…

High Energy Physics - Theory · Physics 2016-04-20 Gonzalo J. Olmo , D. Rubiera-Garcia , A. Sanchez-Puente

Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

In our previous work [Van de Moortel, The breakdown of weak null singularities, Duke Mathematical Journal 172 (15), 2957-3012, 2023], we showed that dynamical black holes formed in charged spherical collapse generically feature both a null…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Maxime Van de Moortel

Regularity theorems are presented for cosmology and gravitational collapse in non-Riemannian gravitational theories. These theorems establish conditions necessary to allow the existence of timelike and null path complete spacetimes for…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. W. Moffat

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

It is a common wisdom that properties of macroscopic bodies are well described by (semi)classical physics. As we have suggested this wisdom is not applicable to black holes. Despite being macroscopic, black holes are quantum objects. They…

High Energy Physics - Theory · Physics 2012-12-05 Gia Dvali , Cesar Gomez

The conditions are clarified under which regular (i.e., singularity-free) black holes can exist. It is shown that in a large class of spacetimes that satisfy the weak energy condition the existence of a regular black hole requires topology…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Arvind Borde

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity,…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We derive and critically examine the consequences that follow from the formation of a regular black or white hole horizon in finite time of a distant observer. In spherical symmetry, only two distinct classes of solutions to the…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk , Daniel R. Terno

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To…

High Energy Physics - Theory · Physics 2020-07-01 M. M. Stetsko

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature $2k$ in Ho\v{r}ava-Lifshitz theory. Without loss of generality, one may take $k=1,0$ and -1. The black hole solution is asymptotically AdS…

High Energy Physics - Theory · Physics 2011-04-14 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta
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