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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203667We study axisymmetric self-gravitating non-linear $σ$-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.6 pages RevTex, to be published in Phys.Rev.D15High Energy Physics - TheoryGeneral Relativity and Quantum CosmologyUniqueness theorem for stationary black ring solution of $σ$-models in five dimensionstext