Jorge Ovalle (Silesian U.)

Schwarzschild black hole revisited and analytic models for gravitational collapse

Within the framework of general relativity, we explore the interior of the Schwarzschild black hole before complete collapse occurs, finding that the exterior is perfectly compatible with a source much more complex than a pointlike mass. We provide a set of inner geometries for singular and regular black holes that smoothly joint the Schwarzschild exterior at the horizon r=h=2M, and which can therefore be regarded as suitable initial conditions for collapse. In particular, we present an exact analytical model showing the final stage of Schwarzschild black hole formation. The model describes the gravitational collapse of regular (non-exotic) matter, which at all times maintains its physical acceptability. We find that the collapse cannot be arbitrary, and in fact must evolve slower than some critical value X_c = e^{−t/M}.