Uniqueness theorem for static black hole solutions of -models in higher dimensions
- 24 July 2002
- journal article
- letter
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 19 (15) , L151-L155
- https://doi.org/10.1088/0264-9381/19/15/102
Abstract
We prove the uniqueness theorem for self-gravitating nonlinear σ-models in higher-dimensional spacetime. Applying the positive mass theorem, we show that the Schwarzschild–Tagherlini spacetime is the only maximally extended, static asymptotically flat solution with non-rotating regular event horizon with a constant mapping.Keywords
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