학술논문
Obstructions to the existence of trapped submanifolds in relativistic spacetimes.
Document Type
Article
Source
Subject
*SUBMANIFOLDS
*SPACE-time symmetries
*
Language
ISSN
0022-2488
Abstract
Obstructions to the existence of trapped submanifolds in spacetimes of arbitrary dimension are given. These obstructions are obtained under natural geometric assumptions, which can be applied to initial data set for Einstein equations, assuring the absence of trapped submanifolds in its development. We highlight that for several of our results the existence of symmetries in the spacetime is not necessary. [ABSTRACT FROM AUTHOR]