Abstract
We follow up our work [4] concerning the formation of trapped surfaces. We provide a considerable extension of our result there on pre-scared surfaces to allow for the formation of a surface with multiple pre-scared angular regions which, together, can cover an arbitrarily large portion of the surface. In a forthcoming paper we plan to show that once a significant part of the surface is pre-scared, it can be additionally deformed to produce a bona-fide trapped surface.
| Original language | American English |
|---|---|
| Pages (from-to) | 1007-1031 |
| Number of pages | 25 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 28 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 2010 |
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Black hole
- Characteristic
- Double null foliation
- Einstein equations
- Energy estimates
- Expansion
- Null second fundamental form
- Ricci coefficients
- Scarred surface
- Trapped surface
- Vacuum