Uniqueness theorem for stationary black hole solutions of σ-models in five dimensions

Abstract

We prove the uniqueness theorem for stationary self-gravitating non-linear σ-models in five-dimensional spacetime. We show that the Myers-Perry vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric, asymptotically flat solution having the regular rotating event horizon with constant mapping.

6 pages, Revtex, to be published in Phys.Rev.D15

References in corpus (1)

• Uniqueness Theorem for Generalized Maxwell Electric and Magnetic Black Holes in Higher Dimensions

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