A Positivity Theorem for Gravitational Tension in Brane Spacetimes
High Energy Physics - Theory
2009-11-10 v1
Abstract
We study transverse asymptotically flat spacetimes without horizons that arise from brane matter sources. We assume that asymptotically there is a spatial translation Killing vector that is tangent to the brane. Such spacetimes are characterized by a tension, analogous to the ADM mass, which is a gravitational charge associated with the asymptotic spatial translation Killing vector. Using spinor techniques, we prove that the purely gravitational contribution to the spacetime tension is positive definite.
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Cite
@article{arxiv.hep-th/0308173,
title = {A Positivity Theorem for Gravitational Tension in Brane Spacetimes},
author = {Jennie Traschen},
journal= {arXiv preprint arXiv:hep-th/0308173},
year = {2009}
}
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8+1 pages