Non-spherical collapse of a two fluid star

TL;DR

This paper studies non-spherical collapse of a two-fluid star in anti-de Sitter space-times, showing it leads to black hole formation without naked singularities, challenging the hoop conjecture.

Contribution

It introduces a Vaidya-like solution for two-fluid collapse in non-spherical anti-de Sitter space-times, incorporating null and string fluids with a linear equation of state.

Findings

Collapse results in black hole formation, no naked singularities.

Non-spherical collapse proceeds in accordance with cosmic censorship.

Violates the hoop conjecture in anti-de Sitter space-times.

Abstract

We obtain the analogue of collapsing Vaidya-like solution to include both a null fluid and a string fluid, with a linear equation of state ($p_{\bot} = k \rho$), in non-spherical (plane symmetric and cylindrically symmetric) anti-de Sitter space-timess. It turns out that the non-spherical collapse of two fluid in anti-de Sitter space-times, in accordance with cosmic censorship, proceed to form black holes, i.e., on naked singularity ever forms, violating hoop conjecture.