Uniqueness Theorem for Static Black Hole Solutions of sigma-models in Higher Dimensions

Abstract

We prove the uniqueness theorem for self-gravitating non-linear sigma-models in higher dimensional spacetime. Applying the positive mass theorem we show that Schwarzschild-Tagherlini spacetime is the only maximally extended, static asymptotically flat solution with non-rotating regular event horizon with a constant mapping.

5 peges, Revtex, to be published in Class.Quantum Grav

References in corpus (1)

• Uniqueness and non-uniqueness of static black holes in higher dimensions

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