Uniqueness theorem for stationary black ring solution of $\sigma$-models in five dimensions

Abstract

We study axisymmetric self-gravitating non-linear $\sigma$-model in five-dimensional spacetime admitting three commutating Killing vector fields. We show that the only asymptotically flat black ring solution with a regular event horizon is the black ring characterized by mass and two angular momenta with constant mapping.

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

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• Evolution of Massive Scalar Fields in the Spacetime of a Tense Brane Black Hole
• Can Dirac fermions Destroy Yang-Mills Black Hole?
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