Jennie Traschen and Daniel Fox 2004 Class. Quantum Grav. 21 289 doi:10.1088/0264-9381/21/1/021
Jennie Traschen1 and Daniel Fox2,3
Show affiliationsWe consider black brane spacetimes that have at least one spatial translation Killing field that is tangent to the brane. A new parameter, the tension of a spacetime, is defined. The tension parameter is associated with spatial translations in much the same way that the ADM mass is associated with the time translation Killing field. In this work, we explore the implications of the spatial translation symmetry for small perturbations around a background black brane. For static-charged black branes we derive a law which relates the tension perturbation to the surface gravity times the change in the horizon area, plus terms that involve variations in the charges and currents. We find that as a black brane evaporates the tension decreases. We also give a simple derivation of a first law for black brane spacetimes. These constructions hold when the background stress–energy is governed by a Hamiltonian, and the results include arbitrary perturbative stress–energy sources.
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 1 (7 January 2004)
Received 17 September 2003
Published 25 November 2003
Jennie Traschen and Daniel Fox 2004 Class. Quantum Grav. 21 289
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