Static Einstein-Maxwell space-time invariant by translation

Abstract

In this paper we study the static Einstein-Maxwell space when it is conformal to an $n$-dimensional pseudo-Euclidean space, which is invariant under the action of an $(n-1)$-dimensional translation group. We also provide a complete classification of such space.

References in corpus (7)

• Towards a classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior
• The classification of static vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior
• Uniqueness of photon spheres in electro-vacuum spacetimes
• The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior
• Uniqueness of the static Einstein-Maxwell spacetimes with a photon sphere
• Photon sphere uniqueness in higher-dimensional electrovacuum spacetimes
• Reduction of gradient Ricci soliton equations