The first law of black brane mechanics
High Energy Physics - Theory
2009-11-07 v2 General Relativity and Quantum Cosmology
Abstract
We obtain ADM and Komar surface integrals for the energy density, tension and angular momentum density of stationary -brane solutions of Einstein's equations. We use them to derive a Smarr-type formula for the energy density and thence a first law of black brane mechanics. The intensive variable conjugate to the worldspace p-volume is an `effective' tension that equals the ADM tension for uncharged branes, but vanishes for isotropic boost-invariant charged branes.
Cite
@article{arxiv.hep-th/0107228,
title = {The first law of black brane mechanics},
author = {Paul K. Townsend and Marija Zamaklar},
journal= {arXiv preprint arXiv:hep-th/0107228},
year = {2009}
}
Comments
20 pp, minor revision plus extra reference