Uniqueness theorem for stationary black hole solutions of \sigma-models   in five dimensions
  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. 
Marek Rogatko