The first law of black brane mechanics

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.

20 pp, minor revision plus extra reference

References in corpus (2)

• Fate of the Black String Instability
• Classical and Thermodynamic Stability of Black Branes

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