Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-04
Class.Quant.Grav.23:4873-4886,2006
Physics
High Energy Physics
High Energy Physics - Theory
16 pp. Extensive revision to include case of non-zero cosmological constant and implications for adS/CFT. Numerous additional
Scientific paper
10.1088/0264-9381/23/15/007
The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological constant Lambda, characterized by a mass m and a magnetic-type charge. The k=1 case is the Reissner-Nordstrom black hole. The k=2 case yields a family of self-gravitating Yang monopoles. The asymptotic spacetime is Minkowski for Lambda=0 and anti-de Sitter for Lambda<0, but the total energy is infinite for k>1. In all cases, there is an event horizon when m>m_c, for some critical mass $m_c$, which is negative for k>1. The horizon is degenerate when m=m_c, and the near-horizon solution is then an adS_2 x S^{2k} vacuum.
Gibbons Gary W.
Townsend Paul K.
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