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There exist Kruskal like coordinates for the Reissner-Nordstrom (RN) black hole spacetime which are regular at coordinate singularities. Non existence of such coordinates for the extreme RN black hole spacetime has already been shown. Also…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Azad A. Siddiqui

We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

We study the gravitation effects on a static and spherically symmetric spacetime due to the vacuum expectation value (VEV) of a Kalb-Ramond field. The Kalb-Ramond VEV is a background tensor field which produces a local Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2020-06-02 L. A. Lessa , J. E. G. Silva , R. V. Maluf , C. A. S. Almeida

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

The static and spherically symmetric solutions in $n(\ge 4)$-dimensional Einstein-phantom-scalar system fall into three family: (i) the Fisher solution, (ii) the Ellis-Gibbons solution, and (iii) the Ellis-Bronnikov solution. We exploit…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Masato Nozawa

This paper investigates Buchdahl transformations within the framework of Einstein and Einstein-Scalar theories. Specifically, we establish that the recently proposed Schwarzschild-Levi-Civita spacetime can be obtained by means of a Buchdahl…

General Relativity and Quantum Cosmology · Physics 2024-10-18 José Barrientos , Adolfo Cisterna , Mokhtar Hassaine , Julio Oliva

It is well known that the Schwarzschild solution describes the gravitational field outside compact spherically symmetric mass distribution in General Relativity. In particular, it describes the gravitational field outside a point particle.…

General Relativity and Quantum Cosmology · Physics 2013-09-04 M. O. Katanaev

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova

We derive a novel class of four-dimensional black hole solutions in Gauss-Bonnet gravity coupled with a scalar field in presence of Maxwell electrodynamics. In order to derive such solutions, we assume the ansatz $ g_{tt}\neq g_{rr}{}^{-1}$…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Salvatore Capozziello , G. G. L. Nashed

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

We introduce a minimally coupled dark sector based on a nonlinear electrodynamics to generate regular spacetime textures that interpolate from a regular core to an asymptotic Lorentz-violating conical geometry. This construction provides a…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Zhi-Chao Li , H. Lu

McVittie's spacetime is a spherically symmetric solution to Einstein's equation with an energy-momentum tensor of a perfect fluid. It describes the external field of a single quasi-isolated object with vanishing electric charge and angular…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Matteo Carrera , Domenico Giulini

With the help of the Bohr--Sommerfeld quantization rule, the area spectrum of a charged, spherically symmetric spacetime is obtained by studying an adiabatic invariant action variable. The period of the Einstein-Maxwell system, which is…

General Relativity and Quantum Cosmology · Physics 2012-04-23 Xiao-Xiong Zeng , Wen-Biao Liu

A class of solutions in $d$-dimensional Einstein gravity minimally coupled to a massless scalar field is studied, where the spacetime metric is of a generalized Weyl form with $d-2$ commuting Killing vectors. In addition to the procedure to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Yen-Kheng Lim

We consider a class of spherically symmetric spacetime to obtain some interesting solutions in F(R) gravity without matter field (pure gravity). We investigate the geometry of the solutions and find that there is an essential singularity at…

General Relativity and Quantum Cosmology · Physics 2014-03-03 S. H. Hendi , B. Eslam Panah , C. Corda

Space-time is spherically symmetric if it admits the group of SO(3) as a group of isometries,with the group orbits spacelike two-surfaces. These orbits are necessarily two-surface of constant positive curavture. One commonly chooses…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amir H. Abbassi

We analyse in all generality beyond Horndeski theories of shift symmetry in a static and spherically symmetric spacetime. By introducing four auxiliary functions, we write the field equations in a particularly compact form. We show that…

General Relativity and Quantum Cosmology · Physics 2022-08-11 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur

Static, cylindrically symmetric solutions to nonlinear scalar-Einstein equations are considered. Regularity conditions on the symmetry axis and flat or string asymptotic conditions are formulated in order to select soliton-like solutions.…

General Relativity and Quantum Cosmology · Physics 2011-08-11 K. A. Bronnikov , G. N. Shikin

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at the center. The brief review of the resulting geometry is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Irina Dymnikova

We present a stationary spherically symmetric solution of the Einstein equations, with a source generated by a scalar field of $q$-theory. In this theory Riemannian gravity, as described by the Einstein - Hilbert action, is coupled to a…

General Relativity and Quantum Cosmology · Physics 2023-07-26 M. Selch , J. Miller , M. A. Zubkov