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We propose a new parametric framework to describe in generic metric theories of gravity the spacetime of spherically symmetric and slowly rotating black holes. In contrast to similar approaches proposed so far, we do not use a Taylor…

General Relativity and Quantum Cosmology · Physics 2014-10-09 Luciano Rezzolla , Alexander Zhidenko

We present a detailed analytical study of spherically symmetric self-similar solutions in the SU(2) sigma model coupled to gravity. Using a shooting argument we prove that there is a countable family of solutions which are analytic inside…

General Relativity and Quantum Cosmology · Physics 2010-11-19 P. Bizoń , A. Wasserman

Lorentz-symmetry and the notion of light cones play a central role in the definition of horizons and the existence of black holes. Current observations provide strong indications that astrophysical black holes do exist in Nature. Here we…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Enrico Barausse , Thomas P. Sotiriou

We present a generalization of the black hole solution with spherical symmetry already known in the literature for $N$-dimensional $F(R)$ gravity with a conformally invariant Maxwell field and constant scalar curvature $R$. This solution…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\'on-Beato and…

High Energy Physics - Theory · Physics 2009-11-11 Waldemar Berej , Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Woronowicz

In the work [Phys.Rev.D 105 (2022) 2, 024042], D'Ambrosio et al. investigated spherically symmetric black hole solutions in $f(\mathbb{Q})$ gravity, where several solutions satisfy the condition: $g_{tt}g_{rr} = \mathrm{const}$. This…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Zhen-Xiao Zhang , Chen Lan , Yan-Gang Miao

The most general set of static and spherically symmetric solutions for conformal Killing gravity coupled to Maxwell fields is presented in closed form. These solutions, depending on six parameters, include non-asymptotically flat black…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Gérard Clément , Khireddine Nouicer

In this work we study the spherical symmetric solutions of $f(R)$ gravity in the metric formalism. We show that for a generic $f(R)$ gravity, the spherical symmetric solution is consistent with the modified gravity equations except in the…

Astrophysics · Physics 2015-05-13 Reza Saffari , Sohrab Rahvar

Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the harmonic slicing condition is presented.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Carles Bona , Joan Masso , Joan Stela

We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions…

High Energy Physics - Theory · Physics 2015-02-23 Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

This article is devoted to static spherically symmetric black hole solutions of dRGT (de Rham-Gabadadze-Tolley) massive gravity in the presence of cosmological constant. The unitary and non-unitary gauges are used to find the solutions in…

General Relativity and Quantum Cosmology · Physics 2017-09-04 Ghadir Jafari , M. R. Setare , Hamid R. Bakhtiarizadeh

Spherically symmetric static empty space solutions are studied in f(R) theories of gravity. We reduce the set of modified Einstein's equations to a single equation and show how one can construct exact solutions in different f(R) models. In…

Astrophysics · Physics 2009-11-11 Tuomas Multamaki , Iiro Vilja

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

In this thesis, we use numerical relativity to investigate gravitational waves from binary black holes in extensions of GR. We first study spherically symmetric gravitational collapse in cubic Horndeski theories of gravity. By varying the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Tiago França

In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar.…

General Relativity and Quantum Cosmology · Physics 2024-04-01 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

We investigate a static solution with spherical symmetry of a recently proposed field theory of gravitation. In this so-called NDL theory, matter interacts with gravity in accordance with the Weak Equivalence Principle, while gravitons have…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Novello , S. E. Perez Bergliaffa , K. E. Hibberd

An exact spherically symmetric black hole solution of a recently proposed noncommutative gravity theory based on star products and twists is constructed. This is the first nontrivial exact solution of that theory. The resulting…

High Energy Physics - Theory · Physics 2009-06-16 Peter Schupp , Sergey Solodukhin

We study spherically symmetric static solutions of the most general sixth-derivative gravity using series expansions. Specifically, we prove that the only solutions of the complete theory (i.e., with generic coupling constants) that possess…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Breno L. Giacchini , Ivan Kolář

We systematically study the field equations of $f(\mathbb Q)$ gravity for spherically symmetric and stationary metric-affine spacetimes. Such spacetimes are described by a metric as well as a flat and torsionless affine connection. In the…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , Simon Kuhn

In general relativity, the Kerr metric uniquely represents the geometry surrounding an isolated, rotating black hole. An identification of significant non-Kerr features in some astrophysical source would then provide a `smoking-gun' for the…

General Relativity and Quantum Cosmology · Physics 2020-08-07 Arthur G Suvorov
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