The Formation and Evolution of Spherical Trapping Horizons

The dynamics of spherically symmetric black holes formed from dust-filled spacetimes are studied in the context of Hayward’s trapping horizons – 3-surfaces foliated by marginal 2-surfaces. The relativistic hydrodynamic treatment of Misner and Sharp [1964] is used in the LeMâıtre-Tolman-Bondi spacetime [Gonçalves, 2001] to model the gravitational collapse of pressure-free dust with various initial density and velocity distributions. Trapping horizons are located in these spacetimes and their signatures examined. i To my parents, Charles and Linda