General Definition of Gravitational Tension

Details General Definition of Gravitational Tension General Definition of Gravitational Tension

2004-03-09

arxiv.org/abs/hep-th/0403103v2

JHEP 0405 (2004) 043

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, v2: Appendix added on deriving ADM-type tension formula from general tension formula

Scientific paper

10.1088/1126-6708/2004/05/043

In this note we give a general definition of the gravitational tension in a given asymptotically translationally-invariant spatial direction of a space-time. The tension is defined via the extrinsic curvature in analogy with the Hawking-Horowitz definition of energy. We show the consistency with the ADM tension formulas for asymptotically-flat space-times, in particular for Kaluza-Klein black hole solutions. Moreover, we apply the general tension formula to near-extremal branes, constituting a check for non-asymptotically flat space-times.

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