Self-gravitating Yang Monopoles in all Dimensions
نویسندگان
چکیده
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 characterized by a mass m and a magnetic-type charge, the k = 1 case being the Reissner-Nordstrom black hole. The k = 2 case yields a family of self-gravitating Yang monopoles, and for k = 4 we find a family of selfgravitating “octonionic” monopoles. In all cases, there is an event horizon when m > mc, for some critical mass mc, which is negative for k > 1. The horizon is degenerate when m = mc, and the near-horizon asymptotic solution is then an adS2 × S vacuum. 1 [email protected] 2 [email protected]
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