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We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for an arbitrary compact semisimple gauge group in the so-called regular case. By this we mean the equations obtained…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Todd A. Oliynyk , H. P. Kunzle

We present spherically symmetric static solutions (a particle-like solution and a black hole solution) in the Einstein-Yang-Mills system with a cosmological constant.Although their gravitational structures are locally similar to those of…

广义相对论与量子宇宙学 · 物理学 2010-01-08 Takashi Torii , Kei-ichi Maeda , Takashi Tachizawa

The dynamics of small perturbations around sphaleron and black hole solutions in the Einstein-Yang-Mills theory for the gauge group $SU(2)$ is investigated. The perturbations can be split into the two independent sectors in accordance with…

高能物理 - 理论 · 物理学 2007-05-23 Mikhail S. Volkov

We investigate static non-abelian black hole solutions of anti-de Sitter Einstein-Yang-Mills-Dilaton gravity, which is obtained as a consistent truncation of five-dimensional maximal gauged supergravity. If the dilaton is (consistently) set…

高能物理 - 理论 · 物理学 2014-11-20 M. Cvetic , H. Lu , C. N. Pope

Recently, an exact black hole solution in non-minimal Einstein-Yang-Mills theory was obtained, and its quasinormal modes were subsequently analyzed using the JWKB approximation \cite{Gogoi:2024vcx}. However, we demonstrate that this…

广义相对论与量子宇宙学 · 物理学 2025-06-10 B. C. Lütfüoğlu

We investigate the stability of four-dimensional dyonic soliton and black hole solutions of ${\mathfrak {su}}(2)$ Einstein-Yang-Mills theory in anti-de Sitter space. We prove that, in a neighbourhood of the embedded trivial…

广义相对论与量子宇宙学 · 物理学 2016-01-27 Brien C. Nolan , Elizabeth Winstanley

We present new soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These solutions are described by N+1 independent parameters, and have N-1 gauge field degrees of freedom. We…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. E. Baxter , Marc Helbling , Elizabeth Winstanley

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To…

高能物理 - 理论 · 物理学 2020-07-01 M. M. Stetsko

Multi-black hole solutions play a relevant role both from the theoretical and the phenomenological point of view. In this Thesis, we construct some regular multi-black hole spacetimes in pure Einstein's General Relativity with the aid of…

广义相对论与量子宇宙学 · 物理学 2022-11-02 Adriano Viganò

We prove that static, spherically symmetric, asymptotically flat soliton and black hole solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Othmar Brodbeck , Norbert Straumann

It is shown analytically that every static, spherically symmetric solution to the Einstein Yang Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Arthur G. Wasserman

We study the black ring solution in the Einstein-Gauss-Bonnet (EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations for the slowly rotating black holes in the EGB theory. The…

高能物理 - 理论 · 物理学 2018-08-01 Bin Chen , Peng-Cheng Li , Cheng-Yong Zhang

We prove uniform decay estimates in the entire exterior of the Schwarzschild black hole for gauge invariant norms on the Yang-Mills fields valued in the Lie algebra associated to the Lie group $SU(2)$. We assume that the initial data are…

偏微分方程分析 · 数学 2016-12-21 Sari Ghanem , Dietrich Häfner

We construct an analytic black hole solution in $SU(2)$ Einstein-Yang-Mills theory in five dimensions supporting a Meron field. The gauge field is proportional to a pure gauge and has a non-trivial topological charge. The would-be…

高能物理 - 理论 · 物理学 2019-06-07 Fabrizio Canfora , Andrés Gomberoff , Seung Hun Oh , Francisco Rojas , Patricio Salgado-Rebolledo

Non-perturbative contributions of the Euclidean path integral are important to understand the information loss paradox. In this paper, we revisit the Yang-Mills instantons in the Einstein-Yang-Mills theory. There exists a globally regular…

广义相对论与量子宇宙学 · 物理学 2023-11-02 Pisin Chen , Xiao Yan Chew , Misao Sasaki , Dong-han Yeom

In this paper we construct an exact spherically symmetric black hole solution with a power Yang-Mills (YM) source in the context of $4D$ Einstein Gauss-Bonnet gravity ($4D$ EGB). We choose our source as $(F_{\mu\nu}^{(a)}F^{\mu\nu(a)})^q$,…

广义相对论与量子宇宙学 · 物理学 2022-12-28 Anindya Biswas

It is well known that the U(1) Reissner-Nordstr\"om black hole is stable within the framework of the Einstein-Maxwell theory. However, the SU(2) Reissner-Nordstr\"om black-hole solution of the coupled Einstein-Yang-Mills equations is known…

广义相对论与量子宇宙学 · 物理学 2014-11-13 Shahar Hod

We investigate finite energy solutions of the Einstein--Yang-Mills--Chern-Simons system in odd spacetime dimensions, D=2n+1, with n>1. Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime…

高能物理 - 理论 · 物理学 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a…

高能物理 - 理论 · 物理学 2009-11-10 H. S. Tan , Edward Teo

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

数学物理 · 物理学 2007-05-23 Reinoud J. Slagter