Non-abelian black holes and black strings in higher dimensions

Details Non-abelian black holes and black strings in higher dimensions Non-abelian black holes and black strings in higher dimensions

2008-11-25

arxiv.org/abs/0811.4076v1

AIP Conf.Proc.1122:137-144,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; prepared as contribution to the proceedings of the Spanish Relativity Meeting (ERE), Salamanca, 2008

Scientific paper

10.1063/1.3141235

We review the properties of static, higher dimensional black hole solutions in theories where non-abelian gauge fields are minimally coupled to gravity. It is shown that black holes with hyperspherically symmetric horizon topology do not exist in $d > 4$, but that hyperspherically symmetric black holes can be constructed numerically in generalized Einstein-Yang-Mills models. 5-dimensional black strings with horizon topology S^2 x S^1 are also discussed. These are so-called undeformed and deformed non-abelian black strings, which are translationally invariant and correspond to 4-dimensional non-abelian black holes trivially extended into one extra dimensions. The fact that black strings can be deformed, i.e. axially symmetric for constant values of the extra coordinate is a new feature as compared to black string solutions of Einstein (-Maxwell) theory. It is argued that these non-abelian black strings are thermodynamically unstable.

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