Recognition: unknown
Uniqueness theorem for stationary black ring solution of σ-models in five dimensions
classification
✦ hep-th
gr-qc
keywords
blackringsigmasolutionadmittingangularasymptoticallyaxisymmetric
read the original 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.
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