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arxiv: 0805.1982 · v1 · submitted 2008-05-14 · ✦ hep-th · gr-qc

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

classification ✦ hep-th gr-qc
keywords blackringsigmasolutionadmittingangularasymptoticallyaxisymmetric
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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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