Multidimensional Gravitational Models: Fluxbrane and S-Brane Solutions with Polynomials

Details Multidimensional Gravitational Models: Fluxbrane and S-Brane Solutions with Polynomials Multidimensional Gravitational Models: Fluxbrane and S-Brane Solutions with Polynomials

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..910..411i&link_type=abstract

COSMOLOGY AND GRAVITATION: XIIth Brazilian School of Cosmololy and Gravitation. AIP Conference Proceedings, Volume 910, pp. 411

Physics

Exact Solutions, Strings And Branes, Particle-Theory And Field-Theory Models Of The Early Universe, Classical Black Holes

Scientific paper

Main results in obtaining exact solutions for multidimensional models and their application to solving main problems of modern cosmology and black hole physics are described. Some new results on composite fluxbrane and S-brane solutions for a wide class of intersection rules are presented. These solutions are defined on a product manifold R* × M1 × ... × Mn which contains n Ricci-flat spaces M1,...,Mn with 1-dimensional R* and M1. They are defined up to a set of functions obeying non-linear differential equations equivalent to Toda-type equations with certain boundary conditions imposed. Exact solutions corresponding to configurations with two branes and intersections related to simple Lie algebras C2 and G2 are obtained. In these cases the functions Hs(z), s = 1, 2, are polynomials of degrees: (3, 4) and (6, 10), respectively, in agreement with a conjecture suggested earlier. Examples of simple S-brane solutions describing an accelerated expansion of a certain factor-space are given explicitely.

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