Article,

Self-gravitating Yang Monopoles in all Dimensions

, and .
Classical and Quantum Gravity, 23 (15): 4873--4885 (Jun 3, 2006)
DOI: 10.1088/0264-9381/23/15/007

Abstract

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.

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