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

References in corpus (3)

• A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
• Boundary Value Problem for Black Rings
• First Law of Black Saturn Thermodynamics