Composite S-brane solutions related to Toda-type systems

Published 20 December 2002 Published under licence by IOP Publishing Ltd
, , Citation V D Ivashchuk 2003 Class. Quantum Grav. 20 261 DOI 10.1088/0264-9381/20/2/301

0264-9381/20/2/261

Abstract

Composite S-brane solutions in multidimensional gravity with scalar fields and fields of forms related to Toda-like systems are presented. These solutions are defined on a product manifold Bbb R* × M1 × ··· × Mn, where Bbb R* is a time manifold, M1 is an Einstein manifold and Mi (i > 1) are Ricci-flat manifolds. Certain examples of S-brane solutions related to A1 + ··· + A1, Am Toda chains and those with 'block-orthogonal' intersections (e.g. SM-brane solutions) are singled out. A Kasner-like asymptotical behaviour of the solutions is shown when certain restrictions are imposed.

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10.1088/0264-9381/20/2/301