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

Summary: "A D-dimensional cosmological model with several scalar fields and an antisymmetric (p+2)-form is considered. For dimensions D=4m+1=5,9,13,dots and p=2m-1=1,3,5,dots we obtain a family of new cosmological type solutions with a 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 a Kähler or hyper-Kähler one, or an 8-dimensional manifold of {rm Spin}(7) holonomy. Generalization of these 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. Some examples of new solutions for IIA supergravity and for a chain of B_D-models in dimensions D=14,15,dots are considered."