A Positivity Theorem for Gravitational Tension in Brane Spacetimes

Details A Positivity Theorem for Gravitational Tension in Brane Spacetimes A Positivity Theorem for Gravitational Tension in Brane Spacetimes

2003-08-26

arxiv.org/abs/hep-th/0308173v1

Class.Quant.Grav. 21 (2004) 1343-1350

Physics

High Energy Physics

High Energy Physics - Theory

8+1 pages

Scientific paper

10.1088/0264-9381/21/6/004

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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