Classical Yang–Mills Black Hole Hair in Anti-de Sitter Space

2008/01/03 by Elizabeth Winstanley, E. Winstanley · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1007/978-3-540-88460-6_2

published as Lect.Notes Phys.769:49-87,2009 · 41 pages, 14 figures. Based on the lecture given at the 4th Aegean Summer School

arxiv created 2008/01/03 · openalex publication_date 2008/11/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The properties of hairy black holes in Einstein-Yang-Mills (EYM) theory are reviewed, focusing on spherically symmetric solutions. In particular, in asymptotically anti-de Sitter space (adS) stable black hole hair is known to exist for su(2) EYM. We review recent work in which it is shown that stable hair also exists in su(N) EYM for arbitrary N, so that there is no upper limit on how much stable hair a black hole in adS can possess.

Citations

• Introducing the black hole
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Cylindrical Black Hole in General Relativity

Cited by

• Instability of sphaleron black holes in asymptotically anti-de Sitter space-time
• On the stability of soliton and hairy black hole solutions of 𝔰𝔲(N) Einstein-Yang-Mills theory with a negative cosmological constant
• Low-temperature behavior of the Abelian Higgs model in Anti-de Sitter space
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes