Formation of a galaxy with a central black hole in the Lemaître-Tolman model

We construct two models of the formation of a galaxy with a central black hole, starting from a small initial fluctuation at recombination. This is an application of previously developed methods to find a Lemaître-Tolman model that evolves from a given initial density or velocity profile to a given final density profile. We show that the black hole itself could be either a collapsed object, or a nonvacuum generalization of a full Schwarzschild-Kruskal-Szekeres wormhole. Particular attention is paid to the black hole’s apparent and event horizons.