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We present a method to generate static solutions in the Einstein-Maxwell system with a (phantom) dilaton field in $n(\ge 4)$-dimensions, based upon the symmetry of the target space for the nonlinear sigma model. Unlike the conventional…

广义相对论与量子宇宙学 · 物理学 2021-01-13 Masato Nozawa

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…

广义相对论与量子宇宙学 · 物理学 2021-01-13 Masato Nozawa

We present a simple and complete classification of static solutions in the Einstein-Maxwell system with a massless scalar field in arbitrary $n(\ge 3)$ dimensions. We consider spacetimes which correspond to a warped product $M^2 \times…

广义相对论与量子宇宙学 · 物理学 2018-08-07 Hideki Maeda , Cristian Martinez

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

The general stationary cylindrically symmetric solution of Einstein-massless scalar field system with a non-positive cosmological constant is presented. It is shown that the general solution is characterized by four integration constants.…

广义相对论与量子宇宙学 · 物理学 2015-09-02 Cristian Erices , Cristian Martinez

We study the spacetime structures of the static solutions in the $n$-dimensional Einstein-Gauss-Bonnet-$\Lambda$ system systematically. We assume the Gauss-Bonnet coefficient $\alpha$ is non-negative. The solutions have the…

高能物理 - 理论 · 物理学 2009-11-11 Takashi Torii , Hideki Maeda

In this paper, we analyse the global structure of the Bronnikov wormhole, which is the most general spherically-symmetric and static solution in Einstein gravity coupled to a free massless phantom scalar. We then introduce a scalar…

广义相对论与量子宇宙学 · 物理学 2020-10-02 Hyat Huang , Hong Lü , Jinbo Yang

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…

广义相对论与量子宇宙学 · 物理学 2009-07-07 Anzhong Wang

We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space…

高能物理 - 理论 · 物理学 2012-06-08 Sebastian Garcia Saenz , Cristian Martinez

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

General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically…

高能物理 - 理论 · 物理学 2009-10-28 Youngjai Kiem , Dahl Park

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

In this article we study self-gravitating static solutions of the Einstein-ScalarField system in arbitrary dimensions. We discuss the existence and the non-existence of geodesically complete solutions depending on the form of the scalar…

广义相对论与量子宇宙学 · 物理学 2016-02-02 Martin Reiris

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

The exact axisymmetric and static solution of the Einstein equations coupled to axisymmetric and static gravitating scalar (or phantom) field is presented. The spacetimes modified by the scalar field are explicitly given for the so called…

广义相对论与量子宇宙学 · 物理学 2018-11-09 Bobur Turimov , Bobomurat Ahmedov , Martin Kološ , Zdeněk Stuchlík

Under a weak assumption of the existence of a geodesic null congruence, we present the general solution of the Einstein field equations in three dimensions with any value of the cosmological constant, admitting an aligned null matter field,…

广义相对论与量子宇宙学 · 物理学 2021-08-09 Jiri Podolsky , Robert Svarc , Hideki Maeda

We consider the problem of uniqueness of static and asymptotically flat Einstein-Maxwell spacetimes with a photon sphere $P^3$. We are using a naturally modified definition of a photon sphere for electrically charged spacetimes with the…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Stoytcho Yazadjiev , Boian Lazov

Simpson and Visser recently proposed a phenomenological way to avoid some kinds of space-time singularities by replacing a parameter whose zero value corresponds to a singularity (say, $r$) with the manifestly nonzero expression $r(u) =…

广义相对论与量子宇宙学 · 物理学 2023-02-10 K. A. Bronnikov

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

We analyze possibilities to obtain a globally regular stationary generalization for the ultrastatic wormhole with a repulsive scalar field found by Bronnikov and by Ellis in 1973. The extreme simplicity of this static solution suggests that…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Mikhail S. Volkov
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