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We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic flatness, where black holes do not exist and a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. de Berredo-Peixoto

We study test-body orbits in the gravitational field of a static spherically symmetric object in presence of a minimally coupled nonlinear scalar field. We generated a two-parametric family of scalar field potentials, which allow finding…

General Relativity and Quantum Cosmology · Physics 2018-08-22 O. S. Stashko , V. I. Zhdanov

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We propose a method for recognizing null singularities in a computer simulation that uses a foliation by spacelike surfaces. The method involves harmonic time slicing as well as rescaled tetrad variables. As a ``proof of concept'' we show…

General Relativity and Quantum Cosmology · Physics 2025-09-11 David Garfinkle

We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Dejan Gajic , Jonathan Luk

Using exactly solvable models, it is shown that black hole singularities in different electrically charged configurations can be cured. Our solutions describe black hole space-times with a wormhole giving structure to the otherwise…

General Relativity and Quantum Cosmology · Physics 2016-07-25 Gonzalo J. Olmo , Diego Rubiera-Garcia , Antonio Sanchez-Puente

Black hole solutions are studied here within the symmetric teleparallel formulation of gravity, employing the $f(Q)$ model in which the gravitational dynamics are governed by the non-metricity scalar $Q$. We focus on static, circularly…

General Relativity and Quantum Cosmology · Physics 2026-03-10 G. G. L. Nashed , A. Eid

We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $\Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Jose M. Torres , Miguel Alcubierre

We investigate static and spherically symmetric solutions in a gravity theory that extends the standard Hilbert-Einstein action with a Lagrangian constructed from a three-form field $A_{\alpha \beta \gamma}$, which is related to the field…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Bruno J. Barros , Bogdan Dǎnilǎ , Tiberiu Harko , Francisco S. N. Lobo

We report exact black hole solutions in asymptotically flat or (A)dS four-dimensional spacetime with a conformally coupled self-interacting scalar field in $f(R)$ gravity. We first consider the asymptotically flat model $f(R) = R -2\alpha…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

The field equations of a special class of tetrad theory of gravitation have been applied to tetrad space having three unknown functions of radial coordinate. The spherically symmetric vacuum stress-energy momentum tensor with one assumption…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Gamal G. L. Nashed

We discuss black holes in an effective theory derived from a superstring model, which includes a dilaton field, a gauge field and the Gauss-Bonnet term. Assuming U(1) or SU(2) symmetry for the gauge field, we find four types of spherically…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Takashi Torii , Hiroki Yajima , Kei-ichi Maeda

We reconstruct a static and spherically symmetric black hole geometry originally proposed as an effective metric by identifying a consistent matter source derived from a fundamental action. The space-time is supported by a magnetically…

In this paper, we consider $F(R)=R+f(R)$ theory instead of Einstein gravity with conformal anomaly and look for its analytical solutions. Depending on the free parameters, one may obtain both uncharged and charged solutions for some classes…

General Relativity and Quantum Cosmology · Physics 2012-01-04 S. H. Hendi , D. Momeni

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

The existence of black holes is one of the key predictions of general relativity (GR) and therefore a basic consistency test for modified theories of gravity. In the case of spherical symmetry in GR the existence of an apparent horizon and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Sebastian Murk , Daniel R. Terno

Generalizing earlier results of Joshi and Dwivedi (Commun. Math. Phys. 146, 333 (1992); Lett. Math. Phys. 27, 235 (1993)), we analyze here the spherically symmetric gravitational collapse of a matter cloud with a general form of matter for…

General Relativity and Quantum Cosmology · Physics 2009-10-22 I. H. Dwivedi , P. S. Joshi

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

Static, spherically symmetric configurations of gravity with nonminimally coupled scalar fields are considered in D-dimensional space-times in the framework of generalized scalar-tensor theories. We seek special cases when the system has no…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Bronnikov