Math @ Duke
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Publications [#31610] of Daniel Fox
Papers Published
- Jennie Traschen and Daniel Fox, Tension perturbations of black brane spacetimes,
Class. Quantum Grav., vol. 21
(2004),
pp. 289-306
(last updated on 2005/01/24)
Abstract: Abstract. We 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.
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