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Starting from a spherically symmetric tetrad with three unknown functions of the radial coordinate, a general solution of M{\o}ller's field equations in case of spherical symmetry nonsingular black hole is derived. The previously obtained…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Gamal G. L. Nashed

Conformal gravity can elegantly solve the problem of spacetime singularities present in Einstein's gravity. For every physical spacetime, there is an infinite family of conformally-equivalent singularity-free metrics. In the unbroken phase,…

General Relativity and Quantum Cosmology · Physics 2017-08-15 Bobir Toshmatov , Cosimo Bambi , Bobomurat Ahmedov , Ahmadjon Abdujabbarov , Zdeněk Stuchlík

We present black hole solutions in $2+1-$dimensional Einstein's theory of gravity coupled with Born-Infeld nonlinear electrodynamic and a massless self-interacting scalar field. The model has five free parameters: mass $M$, cosmological…

General Relativity and Quantum Cosmology · Physics 2015-09-30 S. Habib Mazharimousavi , M. Halilsoy

In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant with cylindrical symmetry to introduce the black hole solution of this model. Here, we solve the Einstein's vacuum field equation, and then we…

General Relativity and Quantum Cosmology · Physics 2023-04-24 Mehdi Sadeghi , Ramin Anvari Asl , Mohammad Shamseh

We study spherically symmetric solutions in a four-parameter Einstein-Cartan-type class of theories. These theories include torsion, as well as the metric, as dynamical fields, and contain only two physical excitations (around flat…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Thibault Damour , Vasilisa Nikiforova

We prove some theorems characterizing the global properties of static, spherically symmetric configurations of a self-gravitating real scalar field in general relativity (GR) in various dimensions, with an arbitrary potential $V$, not…

General Relativity and Quantum Cosmology · Physics 2010-11-19 K. A. Bronnikov , G. N. Shikin

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

Recent work in the literature has studied a version of non-commutative Schwarzschild black holes where the effects of non-commutativity are described by a mass function depending on both the radial variable r and a non-commutativity…

High Energy Physics - Theory · Physics 2008-11-26 Elisabetta Di Grezia , Giampiero Esposito , Gennaro Miele

Properties of $n(\ge 5)$-dimensional static wormhole solutions are investigated in Einstein-Gauss-Bonnet gravity with or without a cosmological constant $\Lambda$. We assume that the spacetime has symmetries corresponding to the isometries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Maeda , Masato Nozawa

We investigate in this paper the static radial coordinate-dependent spherically symmetric spacetime in teleparallel $F(T)$ gravity for a scalar field source. We begin by setting the static field equations (FEs) to be solved and solve the…

General Relativity and Quantum Cosmology · Physics 2025-03-20 Alexandre Landry

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Vasilisa Nikiforova

We investigate solutions of the classical Einstein or supergravity equations that solve any set of quantum corrected Einstein equations in which the Einstein tensor plus a multiple of the metric is equated to a symmetric conserved tensor…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Coley , G. W. Gibbons , S. Hervik , C. N. Pope

Motivated by statements in the literature which contradict two general theorems, the static and spherically symmetric Brans solutions of scalar-tensor gravity are analyzed explicitly in both the Jordan and the Einstein conformal frames.…

General Relativity and Quantum Cosmology · Physics 2016-11-15 V. Faraoni , F. Hammad , S. D. Belknap-Keet

We analyse the impact of positivity conditions on static spherically symmetric deformations of the Schwarzschild space-time. The metric is taken to satisfy, at least asymptotically, the Einstein equation in the presence of a non-trivial…

General Relativity and Quantum Cosmology · Physics 2023-05-23 A. D'Alise , G. Fabiano , D. Frattulillo , S. Hohenegger , D. Iacobacci , F. Pezzella , F. Sannino

The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields have been applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate $r$ and azimuth angle…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

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. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

By applying a recent method --based on a tetrad formalism in General Relativity and the orthogonal splitting of the Riemann tensor-- to the simple spherical static case, we found that the only static solution with homogeneous energy density…

General Relativity and Quantum Cosmology · Physics 2018-10-24 J. Ospino , J. L. Hernández-Pastora , H. Hernández , L. A. Núñez

We investigate static and dynamical spherically symmetric black hole solutions within the Gravity from Entropy (GfE) framework. We derive and solve the modified vacuum field equations for a static, spherically symmetric spacetime, revealing…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Udaykrishna Thattarampilly , Yunlong Zheng , Vishnu Kakkat

We interpret the exact solutions previously obtained for spherically symmetric shells of liquid fluid in General Relativity in terms of the energies involved. We show that a certain parameter that was introduced into the solutions by the…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Jorge L. deLyra

General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein's action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Nikos Chatzifotis , Christoforos Vlachos , Kyriakos Destounis , Eleftherios Papantonopoulos
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