S-brane solutions with (anti-)self-dual parallel charge density form on a Ricci-flat submanifold

TL;DR

This paper introduces new cosmological solutions involving Ricci-flat submanifolds with self-dual or anti-self-dual charge forms, applicable to supergravity and higher-dimensional models, highlighting accelerated expansion scenarios.

Contribution

It presents a novel family of solutions for specific dimensions with self-dual charge forms on Ricci-flat submanifolds, extending previous cosmological models.

Findings

New solutions for D=4m+1 with self-dual charge forms

Examples applicable to IIA supergravity and B_D-models

Solutions with accelerated expansion of extra dimensions

Abstract

A D-dimensional cosmological model with several scalar fields and antisymmetric (p+2)-form is considered. For dimensions D = 4m+1 = 5, 9, 13, ... and p = 2m-1 = 1, 3, 5, ... we obtain a family of new cosmological type solutions with 4m-dimensional oriented Ricci-flat submanifold N of Euclidean signature. These solutions are characterized by a self-dual or anti-self-dual parallel charge density form Q of rank 2m defined on N. The (sub)manifold N may be chosen to be K\ddot{a}hler, or hyper-K\ddot{a}hler one, or 8-dimensional manifold of Spin(7) holonomy. The generalization of solutions to a chain of extra marginal) Ricci-flat factor-spaces is also presented. Solutions with accelerated expansion of extra factor-spaces are singled out. Certain examples of new solutions for IIA supergravity and for a chain of B_D-models in dimensions D = 14, 15, ... are considered.