English

A first-order formalism for timelike and spacelike brane solutions

High Energy Physics - Theory 2009-12-15 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0712.2808,
  title  = {A first-order formalism for timelike and spacelike brane solutions},
  author = {Bert Janssen and Paul Smyth and Thomas Van Riet and Bert Vercnocke},
  journal= {arXiv preprint arXiv:0712.2808},
  year   = {2009}
}

Comments

17 pages, v2: references added, occasional typos corrected

R2 v1 2026-06-21T09:55:00.751Z