The first law of black brane mechanics
- 22 November 2001
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 18 (23) , 5269-5286
- https://doi.org/10.1088/0264-9381/18/23/320
Abstract
We obtain ADM and Komar surface integrals for the energy density, tension and angular momentum density of stationary p-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.Keywords
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