On the boundary of the region containing trapped surfaces
arXiv:0812.2767 · doi:10.1063/1.3141345
Abstract
The boundary of the region in spacetime containing future-trapped closed surfaces is considered. In asymptotically flat spacetimes, this boundary does not need to be the event horizon nor a dynamical/trapping horizon. Some properties of this boundary and its localization are analyzed, and illustrated with examples. In particular, fully explicit future-trapped compact surfaces penetrating into flat portions of a Vaidya spacetime are presented.
16 pages, 1 Table, 3 Figures. Invited talk to appear in the proceedings of the Spanish Relativity Meeting ERE-08, Salamanca, "Physics and Mathematics of Gravitation". Largely based on a collaboration with I. Bengtsson