Gravitational Collapse to Toroidal and Higher Genus asymptotically AdS Black Holes

TL;DR

This paper investigates gravitational collapse in various inhomogeneous and anisotropic spacetimes leading to the formation of toroidal and higher genus asymptotically AdS black holes, expanding understanding of black hole topologies in AdS spaces.

Contribution

It introduces a method to match complex collapsing spacetimes with static vacuum exteriors, demonstrating the formation of non-spherical black holes with diverse topologies.

Findings

Collapse can produce toroidal and higher genus AdS black holes.

Includes inhomogeneous solutions like Szekeres and Barnes.

Shows matching of interior collapse to exterior geometries.

Abstract

We match collapsing inhomogeneous as well as spatially homogeneous but anisotropic spacetimes to vacuum static exteriors with a negative cosmological constant and planar or hyperbolic symmetry. The collapsing interiors include the inhomogeneous solutions of Szekeres and of Barnes, which in turn include the Lemaitre-Tolman and the McVittie solutions. The collapse can result in toroidal or higher genus asymptotically AdS black holes.