  We derive the matching conditions between FLRW and generalised Vaidya
spacetimes with spherical, planar or hyperbolic symmetry, across timelike
hypersurfaces. We then construct new models of gravitational collapse of FLRW
spacetimes with a negative cosmological constant having electromagnetic
radiation in the exterior. The final state of the collapse are asymptotically
AdS black holes with spherical, toroidal or higher genus topologies. We analyse
the collapse dynamics including trapped surface formation, for various
examples.
