Positive energy-momentum theorem in asymptotically anti de Sitter space-times
Differential Geometry
2007-05-23 v3
Abstract
This paper proves a positive energy-momentum theorem for oriented Riemannian 3-manifolds that are asymptotic to a standard hyperbolic slice in anti de Sitter space-time. Analogously to the original Witten's proof in the asymptotically flat case, this result relies on spinorial methods. We also give a rigidity theorem: if the energy-momentum is degenerate (in a certain sense) then our 3-manifold can be isometrically embedded in anti de Sitter.
Keywords
Cite
@article{arxiv.math/0506061,
title = {Positive energy-momentum theorem in asymptotically anti de Sitter space-times},
author = {Daniel Maerten},
journal= {arXiv preprint arXiv:math/0506061},
year = {2007}
}
Comments
2005, 35 pages, to appear in Annales Henri Poincar\'{e}