Uniqueness theorem for stationary black hole solutions of σ-models in five dimensions -: art. no. 084025

I prove the uniqueness theorem for stationary self-gravitating nonlinear sigma-models in five-dimensional spacetime. I 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 a constant mapping.