Gravitational collapse to toroidal and higher genus asymptotically AdS black holes

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 Lemaître–Tolman and the McVittie solutions. The collapse can result in toroidal or higher genus asymptotically $AdS$ black holes.