Gravitational collapse of Type II fluid in higher dimensional space-times

TL;DR

This paper derives general solutions for the gravitational collapse of Type II fluid in higher-dimensional spacetimes, revealing effects on singularity nakedness and initial data space due to strange quark matter.

Contribution

It provides the first comprehensive solution for spherically symmetric collapse of Type II fluid in higher dimensions, analyzing singularity properties and initial data constraints.

Findings

Nakedness and curvature strength of singularities persist in higher dimensions.

Presence of strange quark matter reduces initial data space for naked singularities.

Solutions extend understanding of gravitational collapse in higher-dimensional theories.

Abstract

We find the general solution of the Einstein equation for spherically symmetric collapse of Type II fluid (null strange quark fluid) in higher dimensions. It turns out that the nakedness and curvature strength of the shell focusing singularities carry over to higher dimensions. However, there is shrinkage of the initial data space for a naked singularity of the Vaidya collapse due to the presence of strange quark matter.