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arXiv · hep-th/0403103

General Definition of Gravitational Tension

T. Harmark·N. A. Obers
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Abstract

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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T. Harmark, N. A. Obers. 2004-04-05. General Definition of Gravitational Tension. https://doi.org/10.1088/1126-6708%2F2004%2F05%2F043

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