Formation of a Black String in a Higher Dimensional Vacuum Gravitational Collapse

TL;DR

This paper presents a 5D vacuum Einstein solution modeling gravitational wave collapse, resulting in either a black string or a naked singularity, depending on initial conditions.

Contribution

It introduces a new exact solution describing gravitational collapse in higher dimensions, highlighting conditions for black string formation versus naked singularities.

Findings

Collapse can produce a black string with a horizon

Naked singularities can be removed depending on initial parameters

The solution depends on the focal length of the gravitational wave

Abstract

We present a solution to the vacuum Einstein Equations which represents a collapse of a gravitational wave in 5 dimensions. Depending on the focal length of the wave, the collapse results, either in a black string covered by a horizon, or in a naked singularity which can be removed.