Electric \(S\)-brane solutions with parallel forms on a Ricci-flat factor space

zbMATH Open1129.83017arXivhep-th/0610167MaRDI QIDQ2457718

Publication date: 23 October 2007

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Abstract: In this paper we generalize electric S-brane solutions with maximal number of branes. Previously for the action containing D-dimensional gravity, a scalar field and antisymmetric (p+2)-form we found composite, electric S-brane solutions with all non-zero ``charge densities which obeyed self-duality or anti-self-duality relations. These solutions occurred when D = 4m+1 = 5, 9, 13, >... and p = 2m-1 = 1, 3, 5, ... Here we generalize these solutions to the case when the spatial 4m-dimensional submanifold is Ricci-flat rather than simply Euclidean-flat and the charge density form is a parallel self-dual or anti-self-dual form of rank 2m. Also generalizations are found for the case when there is an extra ``internal Ricci-flat manifold not covered by the S-branes. In the case when one allows a phantom scalar field a subset of these solutions lead to accelerated expansion of this extra spatial factor space not covered by the S-branes while the other spatial factor space of dimension 4m contracts. Some of these S-brane solutions also provide specific examples of solutions of type IIA supergravity.

Full work available at URL: https://arxiv.org/abs/hep-th/0610167

zbMATH Keywords

IIA supergravity D-dimensional gravity \(S\)-brane solutions Electric \(S\)-brane solutions

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supergravity (83E50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15)