Einstein - Yang - Mills black hole solutions in three dimensions

DOI10.1088/0264-9381/15/11/019zbMATH Open0938.83014arXivgr-qc/9802045OpenAlexW1982811202MaRDI QIDQ4699783

Vincent Brindejonc

Publication date: 18 November 1999

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: In this paper, a procedure which gives euclidean solutions of 3-dimensional Einstein-Yang-Mills equations when one has solutions of the Einstein equations is proposed. The method is based on reformulating Yang-Mills theory in such a way that it becomes a gravity. It is applied to find black hole solutions of the coupled Einstein-Yang-Mills equations.

Full work available at URL: https://arxiv.org/abs/gr-qc/9802045

zbMATH Keywords

SU(2) Yang-Mills theoryblack hole solutionsEuclidean solutionscoupled Einstein-Yang-Mills equationsthree-dimensional Einstein-Yang-Mills equations

Mathematics Subject Classification ID

Black holes (83C57) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Applications of PDEs on manifolds (58J90)

Related Items (4)

Higher dimensional Yang-Mills black holes in third order Lovelock gravity ⋮ Three-dimensional black hole coupled to the Born-Infeld electrodynamics ⋮ Sectors of solutions in three-dimensional gravity and black holes ⋮ Black holes with a null Killing vector in three-dimensional massive gravity

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