Geometrical features of (4+d) gravity

TL;DR

This paper explores vacuum solutions in a (4+d)-dimensional Kaluza-Klein gravity theory, revealing diverse geometrical structures like black holes, wormholes, and singularities, and translates these findings into four-dimensional spacetime.

Contribution

It provides new vacuum solutions in higher-dimensional gravity and connects them to four-dimensional spacetime through conformal rescaling.

Findings

Solutions include naked singularities, black holes, and wormholes.

Different parameter regions determine the nature of the solutions.

The four-dimensional picture is obtained via conformal rescaling.

Abstract

We obtain the vacuum spherical symmetric solutions for the gravitational sector of a (4+d)-dimensional Kaluza-Klein theory. In the various regions of parameter space, the solutions can describe either naked singularities or black-holes or wormholes. We also derive, by performing a conformal rescaling, the corresponding picture in the four-dimensional space-time.