Cosmic Censorship in Higher dimension II

TL;DR

This paper demonstrates that in higher-dimensional gravitational collapse with tangential pressure, cosmic censorship can be restored for dimensions six and above, under physically motivated initial conditions.

Contribution

It extends previous dust collapse results by showing cosmic censorship restoration in higher dimensions with tangential pressure, including Einstein cluster models.

Findings

Cosmic censorship is restored in N≥6 dimensions with tangential pressure.

Smooth initial data conditions are crucial for the results.

Includes analysis of Einstein cluster spacetimes.

Abstract

Generalizing earlier results on dust collapse in higher dimensions, we show here that cosmic censorship can be restored in gravitational collapse with tangential pressure present if we take the spacetime dimension to be $N\ge6$. This is under conditions to be motivated physically, such as the smoothness of initial data from which the collapse develops. The models considered here incorporating a non-zero tangential pressure include the Einstein cluster spacetime.