A first-order formalism for timelike and spacelike brane solutions

Details A first-order formalism for timelike and spacelike brane solutions A first-order formalism for timelike and spacelike brane solutions

2007-12-17

arxiv.org/abs/0712.2808v2

JHEP 0804:007,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, v2: references added, occasional typos corrected

Scientific paper

10.1088/1126-6708/2008/04/007

We show that the construction of BPS-type equations for non-extremal black holes due to Miller et. al. can be extended to branes of arbitrary dimension and, more importantly, to time-dependent solutions. We call these first-order equations fake- or pseudo-BPS equations in light of the formalism that has been developed for domain wall and cosmological solutions of gravity coupled to scalar fields. We present the fake/pseudo-BPS equations for all stationary branes (timelike branes) and all time-dependent branes (spacelike branes) of an Einstein-dilaton-p-form system in arbitrary dimensions.

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