Uniqueness theorem for stationary black hole solutions of σ-models in five dimensions
classification
✦ hep-th
gr-qc
keywords
stationarysigma-modelsspacetimetheoremuniquenessasymptoticallyaxisymmetricblack
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We prove the uniqueness theorem for stationary self-gravitating non-linear \sigma-models in five-dimensional spacetime. We show that the Myers-Perry vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric, asymptotically flat solution having the regular rotating event horizon with constant mapping.
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