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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

We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jose M. Martin-Garcia , Carsten Gundlach

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The spacetime is regular everywhere except on the symmetry axis where it possess a true curvature…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Debojit Sarma , Faizuddin Ahmed , Mahadev Patgiri

The exact static solutions in the higher dimensional Einstein-Maxwell-Klein- Gordon theory are investigated. With the help of the methods developed for the effective dilaton type gauge gravity models in two dimensions, we find new…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tekin Dereli , Yuri N. Obukhov

We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Roberto V. Maluf , Gerardo Mora-Pérez , Gonzalo J. Olmo , Diego Rubiera-Garcia

We study the possibility that a generalised real scalar field minimally coupled to gravity could explain both the galactic and the cosmological dark components of the universe. Within the framework of Einstein's Relativity we model static…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alberto Diez-Tejedor , Alexander Feinstein

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

Plane symmetric self-similar solutions to Einstein's four-dimensional theory of gravity are studied and all such solutions are given analytically in closed form. The local and global properties of these solutions are investigated and it is…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang , Yumei Wu , Zhong Chao Wu

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

General Relativity and Quantum Cosmology · Physics 2008-06-11 J. W. Moffat

We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range of scalar-field models, are necessarily stationary. We also…

General Relativity and Quantum Cosmology · Physics 2011-01-18 Jiří Bičák , Martin Scholtz , Paul Tod

We discuss various novel features of $n(\ge 4)$-dimensional spacetimes sourced by a massless (non-)phantom scalar field in general relativity. Assuming that the metric is a warped product of static two-dimensional Lorentzian spacetime and…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Cristian Martinez , Masato Nozawa

In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Stoytcho Yazadjiev

We study the collapse of a massless scalar field coupled to gravity. A class of blackhole solutions are identified. We also report on a class of solutions where collapse starts from a regular spacelike surface but then the collapsing scalar…

General Relativity and Quantum Cosmology · Physics 2011-07-22 Swastik Bhattacharya

Global properties of static, spherically symmetric configurations of scalar fields of sigma-model type with arbitrary potentials are studied in $D$ dimensions, including space-times containing multiple internal factor spaces. The latter are…

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

The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Jia-An Lu , Chao-Guang Huang

We study an analytical solution to the Einstein's equations in 2+1-dimensions. The space-time is dynamical and has a line symmetry. The matter content is a minimally coupled, massless, scalar field. Depending on the value of certain…

General Relativity and Quantum Cosmology · Physics 2015-06-25 G. Oliveira-Neto

We study the static and spherically symmetric exact solution of the Einstein-massless scalar equations given by Janis, Newman and Winicour. We find that this solution satisfies the weak energy condition and has strong globally naked…

General Relativity and Quantum Cosmology · Physics 2009-10-28 K. S. Virbhadra , S. Jhingan , P. S. Joshi

In this article, a cylindrical symmetry and static solution of the Einstein's field equations, was presented. The space-time is conformally flat, regular everywhere except on the symmetry axis where it possesses a naked curvature…

General Physics · Physics 2018-04-18 Faizuddin Ahmed , Farook Rahaman

We study the linear stability of vacuum static, spherically symmetric solutions to the gravitational field equations of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity, restricting ourselves to nonphantom…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Kodir Badalov , Rustam Ibadov