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Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Plamen P. Fiziev

In this paper, we look for the vacuum static spherically symmetric solution in the mimetic gravity scenario based on the conformal invariance principle. The trivial solution is a stealth Schwarzschild black hole with scalar hair where the…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Mohammad Ali Gorji , Alireza Allahyari , Mohsen Khodadi , Hassan Firouzjahi

A new branch of black hole solutions occurs along with the standard Schwarzschild branch in $n$-dimensional extensions of general relativity including terms quadratic in the Ricci tensor. The standard and new branches cross at a point…

High Energy Physics - Theory · Physics 2017-08-23 H. Lu , A. Perkins , C. N. Pope , K. S. Stelle

The Schwarzschild-deSitter metric is the known solution of Einstein field equations with cosmological constant term for vacuum spherically symmetric space around a point mass M. Recently it has been reported that in a $Lamda$-dominant world…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amir H. Abbassi

In this paper, we will consider a subclass of models of Horndeski theories of gravity and we will check for several Static Spherically Symmetric solutions. We will find a model which admits an exact black hole solution and we will study its…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Lorenzo Sebastiani

Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a…

High Energy Physics - Theory · Physics 2016-01-20 Yi-Fu Cai , Hezi Zhang , Junyu Liu , Gong Cheng , Min Wang

We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Christian Heinicke , Friedrich W. Hehl , .

In recent years, interest in extra dimensions has experienced a dramatic increase. A common practice has been to look for higher-dimensional generalizations of four-dimensional solutions to the Einstein equations. In this vein, we have…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Steven Millward

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

The double null form of the Schwarzschild metric is usually arrived at by demanding Eddington-Finkelstein (EF) conditions at the horizon. This leads to certain logarithmic fall-offs that are too slow along null directions at $\mathscr{I}$,…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Chethan Krishnan , Jude Pereira

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the Maxwell…

General Relativity and Quantum Cosmology · Physics 2011-08-17 K. A. Bronnikov

We study black holes in a modified gravity scenario involving a scalar field quadratically coupled to the Gauss-Bonnet invariant. The scalar is assumed to be in a spontaneously broken phase at spatial infinity due to a bare Higgs-like…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , William T. Emond , Sabir Ramazanov

We examine the stability of steady-state galileon accretion for the case of a Schwarzshild black hole. Considering the galileon action up to the cubic term in a static and spherically symmetric background we obtain the general solution for…

General Relativity and Quantum Cosmology · Physics 2017-07-13 Santiago P. E. Bergliaffa , Rodrigo Maier

f(Q) gravity is the extension of symmetric teleparallel general relativity (STGR), in which both curvature and torsion vanish, and gravity is attributed to nonmetricity. This work performs theoretical analyses of static and spherically…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Wenyi Wang , Hua Chen , Taishi Katsuragawa

We study spherically symmetric black hole solutions in a four-parameter Einstein-Cartan-type class of theories, called "torsion bigravity". These theories offer a geometric framework (with a metric and an independent torsionfull connection)…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Vasilisa Nikiforova , Thibault Damour

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

General Relativity and Quantum Cosmology · Physics 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard…

General Relativity and Quantum Cosmology · Physics 2015-06-17 F. R. Klinkhamer

We determine the exact solution of the Einstein field equations for the case of a spherically symmetric shell of liquid matter, characterized by an energy density which is constant with the Schwarzschild radial coordinate $r$ between two…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Jorge L. deLyra , Rodrigo de A. Orselli , C. E. I. Carneiro

We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Kimet Jusufi , Muhammed Amir , Md Sabir Ali , Sunil D. Maharaj