Multidimensional Cosmology for Intersecting p-Branes with Static Internal Spaces

TL;DR

This paper develops exact solutions in a multidimensional cosmological model with static internal spaces, involving p-branes, scalar fields, and antisymmetric forms, showing conditions for de Sitter or anti-de Sitter geometries.

Contribution

It introduces a Toda-like Lagrangian formulation for intersecting p-branes with static internal spaces and derives exact solutions demonstrating their cosmological properties.

Findings

Solutions are de Sitter or anti-de Sitter.

Cosmological constant behavior is linked to p-branes.

Exact solutions with constant internal space scale factors.

Abstract

Multidimensional cosmological model with static internal spaces describing the evolution of an Einstein space of non-zero curvature and n internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms and lambda-term. When forms are chosen to be proportional to volume forms of p-brane submanifolds of internal space manifold, the Toda-like Lagrange representation arises. Exact solutions for the model are obtained, when scale factors of internal spaces are constant. It is shown that they are de Sitter or anti-de Sitter. Behaviour of cosmological constant and its generation by p-branes is demonstrated.