Uniqueness theorem for generalized Maxwell electric and magnetic black holes in higher dimensions

Abstract

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein $(n\ensuremath{-}2)$-gauge forms equations of motion. Black holes spacetime contains an asymptotically flat spacelike hypersurface with compact interior and nondegenerate components of the event horizon.