Electric S-brane solutions with a parallel charge density form on a Ricci-flat factor space
Abstract
We generalize the previously studied cosmological solutions in D-dimensional gravity with an antisymmetric (p+2)-form to the case when the spatial part of the metric is Ricci-flat rather than flat. These generalized solutions are characterized by a parallel self-dual or anti-self-dual charge density form Q of rank 2m and satisfy the condition Q^2 >0. As with the previous flat-space case, these electric, S-brane solutions only exist when D=4m+1 = 5, 9, 13, ... and p= 2m -1 = 1, 3, 5, .... We further generalize these solutions by adding Ricci-flat factor-spaces which are not covered by branes.
Keywords
Cite
@article{arxiv.gr-qc/0609114,
title = {Electric S-brane solutions with a parallel charge density form on a Ricci-flat factor space},
author = {I. S. Goncharenko and V. D. Ivashchuk and S. Rudametkin-Aguilar and D. Singleton},
journal= {arXiv preprint arXiv:gr-qc/0609114},
year = {2008}
}
Comments
4 pages, Latex, Proceedings of the International Conference on Gravitation, Cosmology, Astrophysics and Nonstationary Gas Dynamics, Dedicated to Prof. K.P. Staniukovich's 90th birthday, Moscow, 2-6 March 2006