Black strings in (4+1)-dimensional Einstein-Yang-Mills theory

Abstract

We study two classes of static uniform black string solutions in a (4+1)-dimensional SU(2) Einstein-Yang-Mills model. These configurations possess a regular event horizon and corresponds in a 4-dimensional picture to axially symmetric black hole solutions in an Einstein-Yang-Mills-Higgs-U(1)-dilaton theory. In this approach, one set of solutions possesses a nonzero magnetic charge, while the other solutions represent black holes located in between a monopole-antimonopole pair. A detailed analysis of the solutions' properties is presented, the domain of existence of the black strings being determined. New four dimensional solutions are found by boosting the five dimensional configurations. We also present an argument for the non-existence of finite mass hyperspherically symmetric black holes in SU(2) Einstein-Yang-Mills theory.

19 Revtex pages, 27 eps-figures; discussion on rotating black holes modified

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Cited by in corpus (11)

• New AdS non Abelian black holes with superconducting horizons
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Kaluza-Klein black holes with squashed horizons and $d=4$ superposed monopoles
• Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions
• Nonabelian solutions in N=4, D=5 gauged supergravity
• Black string surrounded by a static anisotropic quintessence fluid
• Black strings and solitons in five dimensional space-time with positive cosmological constant
• Deformed black strings in 5-dimensional Einstein-Yang-Mills theory
• Non-abelian magnetic black strings versus black holes
• d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry