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arXiv · hep-th/0107228

The first law of black brane mechanics

Paul K. Townsend·Marija Zamaklar
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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.

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Paul K. Townsend, Marija Zamaklar. 2001-08-13. The first law of black brane mechanics. https://doi.org/10.1088/0264-9381%2F18%2F23%2F320

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