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It is shown that the non-Abelian black hole solutions have stationary generalizations which are parameterized by their angular momentum and electric Yang-Mills charge. In particular, there exists a non-static class of stationary black holes…

广义相对论与量子宇宙学 · 物理学 2009-10-30 O. Brodbeck , M. Heusler , N. Straumann , M. Volkov

We consider arbitrary stationary and axisymmetric black holes in general relativity in $(d +1)$ dimensions (with $d \geq 3$) that satisfy the vacuum Einstein equation and have a non-degenerate horizon. We prove that the canonical energy of…

广义相对论与量子宇宙学 · 物理学 2017-12-06 Kartik Prabhu , Robert M. Wald

The general classification of 3+1-static black hole solutions of the Einstein equations, with or without matter, is central in General Relativity and important in geometry. In the realm of S1-symmetric vacuum spacetimes, a recent…

广义相对论与量子宇宙学 · 物理学 2024-01-15 Martin Reiris

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

广义相对论与量子宇宙学 · 物理学 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

In a recent paper[1], it has been shown that, there cannot be any rotating (Kerr) Black Hole (BH) with finite mass in order that the generic properties associated with the symmetries of stationary axisymmetric Einstein equations are obeyed,…

天体物理学 · 物理学 2016-08-30 Abhas Mitra

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Paul Tod

In recent years black hole configurations with non standard topology or with non-standard asymptotic have gained considerable attention. In this article we carry out numerical investigations aimed to find periodic coaxial configurations of…

广义相对论与量子宇宙学 · 物理学 2023-08-16 Javier Peraza , Martín Reiris , Omar E. Ortiz

The celebrated uniqueness's theorem of the Schwarzschild solution by Israel, Robinson et al, and Bunting/Masood-ul-Alam, asserts that the only asymptotically flat static solution of the vacuum Einstein equations with compact but…

广义相对论与量子宇宙学 · 物理学 2018-06-05 Martín Reiris Ithurralde

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

We find an exact nonstatic charged BTZ-like solutions, in ($N$+1)-dimensional Einstein gravity in the presence of negative cosmological constant and a nonlinear Maxwell field defined by a power $s$ of the Maxwell invariant, which describes…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Sushant G. Ghosh

(2+1)-regular static black hole solutions with a nonlinear electric field are derived. The source to the Einstein equations is an energy momentum tensor of nonlinear electrodynamics, which satisfies the weak energy conditions and in the…

高能物理 - 理论 · 物理学 2009-10-31 Mauricio Cataldo , Alberto Garcia

From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional gravity the uniqueness of wide families of exact solutions is established, among them, all…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Alberto A. Garcia-Diaz

We discuss the stability of (charged) static black holes in higher-dimensional spacetimes with and without cosmological constant by using gauge-invariant master equations of the Schroedinger equation type for black hole perturbations…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hideo Kodama , Akihiro Ishibashi

Starting from the Oppenheimer-Snyder model, we know how in classical general relativity the gravitational collapse of matter form a black hole with a central spacetime singularity. It is widely believed that the singularity must be removed…

广义相对论与量子宇宙学 · 物理学 2015-02-27 Yiyang Zhang , Yiwei Zhu , Leonardo Modesto , Cosimo Bambi

The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

高能物理 - 理论 · 物理学 2009-11-10 Hideo Kodama

We examine the conjecture for the complete monotonicity of certain curvature invariants for quantum black holes. In this note, we study a class of quantum regular black holes that are static, spherically symmetric, and characterized only by…

高能物理 - 理论 · 物理学 2025-09-30 A. Almasi , A. Moradpouri , M. Shahbazi

The black hole rigidity theorem asserts that a rotating stationary black hole must be axisymmetric. This theorem holds for General Relativity with suitable matter fields, in four or more dimensions. We show that the theorem can be extended…

广义相对论与量子宇宙学 · 物理学 2023-04-26 Stefan Hollands , Akihiro Ishibashi , Harvey S. Reall

We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of…

广义相对论与量子宇宙学 · 物理学 2015-01-14 S. Alexakis , A. D. Ionescu , S. Klainerman

We construct static black hole solutions that have no rotational symmetry. These arise in theories, including the standard electroweak model, that include charged vector mesons with mass $m\ne 0$. In such theories, a magnetically charged…

广义相对论与量子宇宙学 · 物理学 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

This is the second article of a series or two, proving a generalisation of the uniqueness theorem of the Schwarzschild solution. The theorem to be shown classifies all (metrically complete) solutions of the static vacuum Einstein equations…

广义相对论与量子宇宙学 · 物理学 2018-06-05 Martín Reiris Ithurralde
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