The first law of black brane mechanics
Paul K Townsend; Marija Zamaklar; Paul K Townsend; DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK; Marija Zamaklar; DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
Журнал:
Classical and Quantum Gravity
Дата:
2001-12-07
Аннотация:
We obtain ADM and Komar surface integrals for the energy density, tension and angular momentum density of stationary p-brane solutions of Einsteinʼs 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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