More on general $p$-brane solutions

Details More on general $p$-brane solutions More on general $p$-brane solutions

2005-08-10

arxiv.org/abs/hep-th/0508070v1

Int.J.Mod.Phys.A21:3575-3604,2006

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 2 figures

Scientific paper

10.1142/S0217751X06029417

Recently it was found that the complete integration of the Einstein-dilaton-antisymmetric form equations depending on one variable and describing static singly charged $p$-branes leads to two and only two classes of solutions: the standard asymptotically flat black $p$-brane and the asymptotically non-flat $p$-brane approaching the linear dilaton background at spatial infinity. Here we analyze this issue in more details and generalize the corresponding uniqueness argument to the case of partially delocalized branes. We also consider the special case of codimension one and find, in addition to the standard domain wall, the black wall solution. Explicit relations between our solutions and some recently found $p$-brane solutions ``with extra parameters'' are presented.

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