Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 19, Issue 15, Pages L151-L155Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/19/15/102
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We prove the uniqueness theorem for self-gravitating nonlinear sigma-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.
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