Gravitational collapse with rotating thin shells and cosmic censorship

TL;DR

This paper explores gravitational collapse involving rotating thin shells in higher-dimensional spacetimes, extending previous models to arbitrary odd dimensions and highlighting conditions for oscillatory orbits with negative pressure matter.

Contribution

It generalizes the matching of rotating thin shells in Myers-Perry spacetimes to higher odd dimensions and discusses conditions for oscillatory shell orbits.

Findings

Extended the shell matching to arbitrary higher odd dimensions.

Identified conditions for oscillatory orbits with negative pressure matter.

Provided detailed analysis of gravitational collapse with rotation.

Abstract

Gravitational collapse of matter in the presence of rotation is a mostly unexplored topic but it might have important implications for cosmic censorship. Recently a convenient setup was identified to address this problem, by considering thin matter shells at the interface between two equal angular momenta Myers-Perry spacetimes in five dimensions. This note provides more details about the matching of such cohomogeneity-1 spacetimes and extends the results obtained therein to arbitrary higher odd dimensions. It is also pointed out that oscillatory orbits for shells in asymptotically flat spacetimes can be naturally obtained if the matter has a negative pressure component.