Composite S-brane solutions related to Toda-type systems

TL;DR

This paper constructs composite S-brane solutions in multidimensional gravity with scalar and form fields, relating them to Toda-like systems and analyzing their asymptotic Kasner-like behavior.

Contribution

It introduces new composite S-brane solutions connected to Toda systems and explores their intersection properties and asymptotic behavior.

Findings

Solutions related to A_1 + ... + A_1, A_m Toda chains are presented.

Block-orthogonal intersection solutions like SM-branes are identified.

Under restrictions, solutions exhibit Kasner-like asymptotics.

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 R_{*} x M_1 x ... x M_n, where R_{*} is a time manifold, M_1 is an Einstein manifold and M_i (i > 1) are Ricci-flat manifolds. Certain examples of S-brane solutions related to A_1 + ... + A_1, A_m Toda chains and those with "block-orthogonal" intersections (e.g. SM-brane solutions) are singled out. Under certain restrictions imposed a Kasner-like asymptotical behaviour of the solutions is shown.