Charged seven-dimensional spacetimes with spherically symmetric extra-dimensions

TL;DR

This paper derives exact seven-dimensional Einstein-Maxwell solutions with spherical extra-dimensions, revealing wormhole configurations relevant for braneworld models and providing a regular coordinate system for the entire spacetime.

Contribution

It generalizes previous Ricci-flat solutions to include charged spacetimes with spherical extra-dimensions, expanding the understanding of higher-dimensional braneworld geometries.

Findings

Includes wormhole configurations in seven-dimensional spacetimes.

Provides a regular coordinate system for the entire spacetime.

Extends previous Ricci-flat solutions to charged cases.

Abstract

We derive exact solutions of the seven-dimensional Einstein-Maxwell equations for a spacetime exhibiting Poincare invariance along four-dimensions and spherical symmetry in the extra-dimensions. Such topology generically arises in the context of braneworld models. Our solutions generalise previous results on Ricci-flat spacetimes admitting the two-sphere and are shown to include wormhole configurations. A regular coordinate system suitable to describe the whole spacetime is singled-out and we discuss the physical relevance of the derived solutions.