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A Positivity Theorem for Gravitational Tension in Brane Spacetimes

Jennie Traschen
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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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Jennie Traschen. 2003-08-26. A Positivity Theorem for Gravitational Tension in Brane Spacetimes. https://doi.org/10.1088/0264-9381%2F21%2F6%2F004

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