A positivity theorem for gravitational tension in brane spacetimes

2003/08/26 by Jennie Traschen · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1088/0264-9381/21/6/004

published as Class.Quant.Grav. 21 (2004) 1343-1350 · 8+1 pages

arxiv created 2003/08/26 · openalex publication_date 2004/02/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Stability of gravity with a cosmological constant
• Black strings andp-branes are unstable
• A new proof of the positive energy theorem

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