Composite electric S-brane solutions with maximal number of branes

TL;DR

This paper constructs and analyzes maximal composite electric S-brane solutions in higher-dimensional cosmological models with scalar fields and form fields, revealing specific conditions for their existence and properties such as Kasner-like behavior.

Contribution

It introduces new solutions with maximal brane configurations in certain odd dimensions, characterized by self-dual charge forms, and explores their cosmological properties.

Findings

Maximal brane solutions exist in dimensions D=5,9,13 with specific form ranks.

Solutions exhibit Kasner-like cosmological behavior.

Maximal configurations are absent for p=1 in even dimensions.

Abstract

In this paper we consider (n+1)-dimensional cosmological model with scalar field and antisymmetric (p+2)-form. Using an electric composite Sp-brane ansatz the field equations for the original system reduce to the equations for a Toda-like system with n(n-1)/2 quadratic constraints on the charge densities. For certain odd dimensions (D = 4m+1 = 5, 9, 13, ...) and (p+2)-forms (p = 2m-1 = 1, 3, 5, ...) these algebraic constraints can be satisfied with the maximal number of charged branes ({\it i.e.} all the branes have non-zero charge densities). These solutions are characterized by self-dual or anti-self-dual charge density forms Q (of rank 2m). For these algebraic solutions with the particular D, p, Q and non-exceptional dilatonic coupling constant \lambda we obtain general cosmological solutions to the field equations and some properties of these solutions are highlighted (e.g. Kasner-like behavior, the existence of attractor solutions). We prove the absence of maximal configurations for p =1 and even D (e.g. for D =10 supergravity models and those of superstring origin).