PHYSICS SEMINAR
EMERGENCE OF A THIN SHELL STRUCTURE DURING GRAVITATIONAL COLLAPSE IN ISOTROPIC COORDINATES
Hugues Beauchesne
Physics Department,
Bishop's University
Thursday, June 23, 2011
2:00 p.m.
Nicolls 315
We observe the emergence of a thin shell structure during the gravitational collapse of matter in isotropic coordinates. The spacetime separates into three distinct regions: a static Schwarzschild region outside the shell, a collapsing Friedmann-Robertson-Walker universe inside the shell and the formation of a thin shell of matter in the vicinity of the event horizon. We show that the ADM mass accumulates in the shell region and that the stress-energy tensor tends to zero everywhere except near the event horizon. The extrinsic curvature has a jump discontinuity across the event horizon in accordance with the presence of a thin shell. The Kretschmann and Ricci scalars are plotted as probes of the collapsing interior of the black hole.
