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

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

2002-07-20

arxiv.org/abs/hep-th/0207187v1

Class.Quant.Grav. 19 (2002) L151

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0264-9381/19/15/102

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.

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