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

Preprint

20 July 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0207187

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.

Keywords

UNIQUENESS THEOREM
MAXIMALLY EXTENDED
HOLE SOLUTIONS
STATIC BLACK
SIGMA MODELS
GRAVITATING
BLACK HOLE
SPACETIME

All Related Versions

Version 1, 2002-07-20, ArXiv
Published version: Classical and Quantum Gravity, 19 (15), L151.

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