Static Einstein-Maxwell space-time invariant by translation

TL;DR

This paper classifies static Einstein-Maxwell spacetimes that are conformally related to pseudo-Euclidean spaces and invariant under high-dimensional translation groups, expanding understanding of their geometric structure.

Contribution

It provides a complete classification of static Einstein-Maxwell spaces conformal to pseudo-Euclidean spaces with translation invariance.

Findings

Classification of such spacetimes is achieved.

Conditions for conformality to pseudo-Euclidean space are characterized.

Invariant properties under translation groups are detailed.

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.