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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

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 uniqueness of static asymptotically flat photon sphere for static black hole solution in Einstein-Maxwell-dilaton theory with arbitrary coupling constant was proposed. Using the conformal positive energy theorem we show that the dilaton…

高能物理 - 理论 · 物理学 2016-03-09 Marek Rogatko

In the present paper we prove a uniqueness theorem for the static and asymptotically flat solutions to the Einstein-scalar field equations which possess a photon sphere. We show that such solutions are uniquely specified by their mass $M$…

广义相对论与量子宇宙学 · 物理学 2015-01-28 Stoytcho S. Yazadjiev

In our paper we pay attention to the problem of uniqueness (classification) of higher-dimensional electro-magnetic static, asymptotically flat, non-extremal solutions of multi-dimensional Einstein (n-2)-form gauge field gravity theory,…

广义相对论与量子宇宙学 · 物理学 2025-08-28 Marek Rogatko

In this paper we prove a Minkowski-like inequality for an asymptotically flat static Einstein-Maxwell (electrostatic) space-time using as approach the inverse mean curvature flow (IMCF). Moreover, we discuss the importance of this…

微分几何 · 数学 2022-03-07 B. Leandro , A. de Melo , H. Pina

Uniqueness of static, asymptotically flat, non-extremal {\it photon sphere} in Einstein-Maxwell spacetime with electric and magnetic charges has been proved. Using conformal positive energy theorem, as well as, the positive mass theorem and…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Marek Rogatko

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

Uniqueness of the four-dimensional static, asymptotically flat, Einstein-Maxwell spacetime with both electric and magnetic charges, containing non-extremal massive particle sphere, being an inner boundary in it, has been proved. It is…

广义相对论与量子宇宙学 · 物理学 2026-01-13 Marek Rogatko

We derive the global properties of static spherically symmetric solutions to the Einstein-Maxwell-dilaton system in the presence of an arbitrary exponential dilaton potential. We show that -- with the exception of a pure cosmological…

广义相对论与量子宇宙学 · 物理学 2014-11-17 S. J. Poletti , D. L. Wiltshire

We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions…

高能物理 - 理论 · 物理学 2010-11-19 Youngjai Kiem , Dahl Park

We prove that any asymptotically flat static spacetime in higher dimensional Einstein-Maxwell theory must have no magnetic field. This implies that there are no static soliton spacetimes and completes the classification of static…

广义相对论与量子宇宙学 · 物理学 2018-02-02 Hari K. Kunduri , James Lucietti

In a recent paper, the authors established the uniqueness of photon spheres in static vacuum asymptotically flat spacetimes by adapting Bunting and Masood-ul-Alam's proof of static vacuum black hole uniqueness. Here, we establish uniqueness…

微分几何 · 数学 2016-03-23 Carla Cederbaum , Gregory J. Galloway

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…

广义相对论与量子宇宙学 · 物理学 2021-01-19 Cristian Martinez , Masato Nozawa

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

In this note we identify photon surfaces and anti-photon surfaces in some physically interesting spacetimes, which are not spherically symmetric. All of our examples solve physically reasonable field equations, including for some cases the…

广义相对论与量子宇宙学 · 物理学 2016-10-26 G. W. Gibbons , C. M. Warnick

Three non-existence results are established for self-gravitating solitons in Einstein-Maxwell-scalar models, wherein the scalar field is, generically, non-minimally coupled to the Maxwell field via a scalar function $f(\Phi)$. Firstly, a…

广义相对论与量子宇宙学 · 物理学 2019-04-26 Carlos A. R. Herdeiro , João M. S. Oliveira

We firstly present a new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity and then investigate the propagation of photon in this background. This solution…

广义相对论与量子宇宙学 · 物理学 2018-12-04 Songbai Chen , Lu Zhang , Jiliang Jing

We study timelike, totally umbilic hypersurfaces -- called photon surfaces -- in $n+1$-dimensional static, asymptotically flat spacetimes, for $n+1\geq4$. First, we give a complete characterization of photon surfaces in a class of…

广义相对论与量子宇宙学 · 物理学 2023-11-30 Carla Cederbaum , Sophia Jahns , Olivia Vičánek Martínez

We derive exact magnetically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity. These solutions are neither asymptotically flat nor (anti)-de Sitter. The properties…

高能物理 - 理论 · 物理学 2009-11-11 Stoytcho S. Yazadjiev
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