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According to the Einstein hole argument, vacuum metric solutions are equivalent only if they correspond to the same energy--momentum tensor in the source region. In this paper it is shown that singular coordinates that are used to show…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Merab Gogberashvili

In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Olivier Minazzoli , Edison Santos

We construct novel scalarized black hole (BH) solutions beyond the general relativity (GR) framework. These scalarized BH solutions are extended from the Schwarzschild one and the non-Schwarzschild one in the pure Einstein-Weyl gravity. By…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Xi-Jing Wang , Guoyang Fu , Peng Liu , Xiao-Mei Kuang , Bin Wang , Jian-Pin Wu

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

The theory of higher derivative gravity is proposed to solve the non-renormalizable problem in quantum gravity.In this article, We use two numerical methods to fit another static spherically symmetric black hole besides the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Jin-Bo He

We obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine , Cristian Martinez

In this paper, we present the solution for a Schwarzschild black-hole immersed in an electric or magnetic background field \`a la Melvin within the framework of Entangled Relativity. Previous solutions in Entangled Relativity required…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Olivier Minazzoli , Maxime Wavasseur

Using the general parametrization of spherically symmetric and asymptotically flat black holes in arbitrary metric theories of gravity and implying that: a) the post-Newtonian constraints are taken into account and b) basic astrophysically…

General Relativity and Quantum Cosmology · Physics 2023-08-10 R. A. Konoplya , A. Zhidenko

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

We show that, unlike vacuum General Relativity, Einstein-scalar theories allow balanced static, neutral, asymptotically flat, double-black hole solutions, for scalar field models minimally coupled to gravity, with appropriate…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Carlos A. R. Herdeiro , Eugen Radu

Black holes are among the most intriguing objects in nature. They are believed to be fully described by General Relativity (GR), and the astrophysical black holes are expected to belong to the Kerr family, obeying the no-hair theorems.…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Renan B. Magalhães , Luiz C. S. Leite , Luís C. B. Crispino

The Ba\~nados-Teitelboim-Zanelli (BTZ) black hole metric solves the three-dimensional Einstein's theory with a negative cosmological constant as well as all the generic higher derivative gravity theories based on the metric; as such it is a…

High Energy Physics - Theory · Physics 2019-10-02 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational…

High Energy Physics - Theory · Physics 2014-11-21 Yi-Fu Cai , Damien A. Easson

We study electrically charged, static, spherically symmetric black holes in quadratic gravity using the conformal-to-Kundt technique, which leads to a considerable simplification of the field equations. We study the solutions using a…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Vojtech Pravda , Alena Pravdova , George Turner

We describe the gravitational degrees of freedom of the Schwarzschild black hole by one free variable. We introduce an equation which we suggest to be the Schroedinger equation of the Schwarzschild black hole corresponding to this model. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jarmo Makela

We study spherical black-hole solutions in Einstein-aether theory, a Lorentz-violating gravitational theory consisting of General Relativity with a dynamical unit timelike vector (the "aether") that defines a preferred timelike direction.…

General Relativity and Quantum Cosmology · Physics 2011-07-11 Enrico Barausse , Ted Jacobson , Thomas P. Sotiriou

A proof is given that the space $\L$ of solutions of the linearized vacuum Einstein's equation around a Schwarzschild black hole is parameterized by two scalar fields which are gauge invariant combinations of perturbed algebraic and…

General Relativity and Quantum Cosmology · Physics 2014-06-12 Gustavo Dotti

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Manuel Gonzalez-Espinoza , Y. Gómez-Leyton , Z. Stuchlik , Francisco Tello-Ortiz

It is recently shown that, besides the Schwarzshcild black hole solution, there exist also scalarized black hole solutions in some Einstein-scalar-Gauss-Bonnet theories. In this paper, we construct analytical expressions for the metric…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Yuan-Xing Gao , Dao-Jun Liu

In this article we analyze the predictions of the Einstein gravitation theory (EGT) on black holes in the framework of the Schwarzschild geometry that is defined in the vacuum around a spherically symmetric mass distribution, without…

General Relativity and Quantum Cosmology · Physics 2010-10-04 M. Cattani