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

Details Uniqueness theorem for stationary black ring solution of $σ$-models in five dimensions Uniqueness theorem for stationary black ring solution of $σ$-models in five dimensions

2008-05-14

arxiv.org/abs/0805.1982v1

Phys.Rev.D77:124037,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.77.124037

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.

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