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There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly…

广义相对论与量子宇宙学 · 物理学 2024-08-27 O. S. Stashko , V. I. Zhdanov

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…

广义相对论与量子宇宙学 · 物理学 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

We enumerate all possible types of spacetime causal structures that can appear in static, spherically symmetric configurations of a self-gravitating, real, nonlinear, minimally coupled scalar field \phi in general relativity, with an…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Kirill A. Bronnikov

f(R) gravity is a well-known modification of General Relativity, that can be reduced to a scalar-tensor theory by a conformal transformation (Einstein frame). We study static spherically symmetric (SSS) asymptotically flat vacuum…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Valery I. Zhdanov

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…

广义相对论与量子宇宙学 · 物理学 2008-06-11 J. W. Moffat

All the classes of static massless scalar field models available currently in the Einstein theory of gravity necessarily contain a strong curvature naked singularity. We obtain here a family of solutions for static massless scalar fields…

广义相对论与量子宇宙学 · 物理学 2011-06-28 Swastik Bhattacharya , Pankaj S. Joshi

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…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Stoytcho Yazadjiev

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.…

广义相对论与量子宇宙学 · 物理学 2011-08-11 K. A. Bronnikov , G. N. Shikin

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…

广义相对论与量子宇宙学 · 物理学 2010-11-19 K. A. Bronnikov , G. N. Shikin

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…

广义相对论与量子宇宙学 · 物理学 2018-08-22 O. S. Stashko , V. I. Zhdanov

In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the…

高能物理 - 理论 · 物理学 2013-07-26 Bobby E. Gunara , Freddy P. Zen , Fiki T. Akbar , Agus Suroso , Arianto

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…

广义相对论与量子宇宙学 · 物理学 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

Static spherically symmetric black holes and particle like solutions with self interacting minimally coupled scalar field {\phi} are analyzed. They are asymptotically flat or anti-de Sitter (AdS). We express them in terms of a single…

广义相对论与量子宇宙学 · 物理学 2016-02-12 J. Tafel

Static spherically symmetric (SSS) solutions of f(R) gravity are studied in the Einstein frame. The solutions involve SSS configuration mass M and scalaron mass $\mu$ (in geometrized units); for typical astrophysical masses, the…

广义相对论与量子宇宙学 · 物理学 2025-07-28 V. I. Zhdanov

We study linear perturbations against static spherically symmetric background configurations of General Relativity with a real scalar field (SF), which is minimally coupled with gravity; it is non-linear due to the presence of the…

广义相对论与量子宇宙学 · 物理学 2023-12-19 O. S. Stashko , O. V. Savchuk , V. I. Zhdanov

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

广义相对论与量子宇宙学 · 物理学 2010-02-05 Christopher Eling , Ted Jacobson

General relativistic static spherically symmetric (SSS) asymptotically flat configurations with scalar fields typically contain naked singularities at the center. We consider minimally coupled scalar fields with power-law potentials leading…

广义相对论与量子宇宙学 · 物理学 2025-07-15 A. V. Tugay , V. I. Zhdanov , Yu. V. Taistra

We study stable circular orbits (SCO) around static spherically symmetric configuration of General Relativity with a non-linear scalar field (SF). The configurations are described by solutions of the Einstein-SF equations with monomial SF…

广义相对论与量子宇宙学 · 物理学 2022-09-07 O. S. Stashko , V. I. Zhdanov , A. N. Alexandrov

First we review some of the attempts made to find exact spherically symmetric solutions of Einstein field equations in the presence of scalar fields .Wyman solution in both static and non static scalar field is discussed briefly and it is…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Mohammad Mehrpooya , D. Momeni

Solutions of field equations in $f(R)$ gravity are found for a spherically symmetric and static spacetime in the Born-Infeld (BI) non-linear electrodynamics. It is found that the models supported in this configuration must have the…

广义相对论与量子宇宙学 · 物理学 2020-11-18 Roger A. Hurtado , Jose R. Arenas
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