A note on the cylindrical collapse of counter-rotating dust

TL;DR

This paper presents analytical solutions for the collapse of a cylindrical shell of counter-rotating dust, demonstrating that such collapse leads to singularities without horizon formation, supporting the hoop conjecture.

Contribution

It provides new analytical models of cylindrical dust collapse showing singularity formation without horizon development.

Findings

Curvature singularities develop from regular initial data.

No apparent horizons form during collapse.

Supports the hoop conjecture in cylindrical symmetry.

Abstract

We find analytical solutions describing the collapse of an infinitely long cylindrical shell of counter-rotating dust. We show that--for the classes of solutions discussed herein--from regular initial data a curvature singularity inevitably develops, and no apparent horizons form, thus in accord with the spirit of the hoop conjecture.