Electric S-brane solutions with a parallel charge density form on a Ricci-flat factor space

Details Electric S-brane solutions with a parallel charge density form on a Ricci-flat factor space Electric S-brane solutions with a parallel charge density form on a Ricci-flat factor space

2006-09-25

arxiv.org/abs/gr-qc/0609114v1

Grav.Cosmol.12:169-172,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Latex, Proceedings of the International Conference on Gravitation, Cosmology, Astrophysics and Nonstationary Gas Dyna

Scientific paper

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.

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