General Definition of Gravitational Tension
High Energy Physics - Theory
2009-11-10 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.hep-th/0403103,
title = {General Definition of Gravitational Tension},
author = {T. Harmark and N. A. Obers},
journal= {arXiv preprint arXiv:hep-th/0403103},
year = {2009}
}
Comments
17 pages, v2: Appendix added on deriving ADM-type tension formula from general tension formula