Cosmology in p-brane systems

TL;DR

This paper explores time-dependent solutions in higher-dimensional gravity related to supergravity, focusing on p-branes with a cosmological constant and their intersections, revealing new solutions with potential cosmological applications.

Contribution

It introduces novel time-dependent p-brane solutions where all harmonic functions depend on time under specific conditions, extending previous static and intersecting brane models.

Findings

Accelerating solutions with non-dynamical dilaton in the presence of a cosmological constant.

New classes of solutions with all harmonic functions time-dependent for intersecting branes.

Applications to cosmology with and without compactifications.

Abstract

We present time-dependent solutions in the higher-dimensional gravity which are related to supergravity in the particular cases. Here, we consider p-branes with a cosmological constant and the intersections of two and more branes. The dynamical description of p-branes can be naturally obtained as the extension of static solutions. In the presence of a cosmological constant, we find accelerating solutions if the dilaton is not dynamical. In the case of intersecting branes, the field equations normally indicate that time-dependent solutions in supergravity can be found if only one harmonic function in the metric depends on time. However, if the special relation between dilaton couplings to antisymmetric tensor field strengths is satisfied, one can find a new class of solutions where all harmonic functions depend on time. We then apply our new solutions to study cosmology, with and without performing compactifications.