Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories

TL;DR

This paper constructs explicit time-dependent brane solutions in M-theory and string theory within curved, cosmological backgrounds, analyzing their behavior and connections to Milne spacetime.

Contribution

It provides new explicit solutions for branes in time-dependent, singular backgrounds, expanding understanding of branes in cosmological settings.

Findings

Solutions exhibit distinct asymptotic and near-horizon behaviors

Some solutions asymptotically approach Milne X R^n spacetime

Solutions serve as explicit models of branes in singular cosmological backgrounds

Abstract

We obtain explicit time dependent brane solutions in M-theory as well as in string theory by solving the reduced equations of motion (which follow from 11-d supergravity) for a class of brane solutions in curved backgrounds. The behaviour of our solutions in both asymptotic and near-horizon limits are studied. It is shown that our time dependent solutions serve as explicit examples of branes in singular, cosmological backgrounds. In some special cases the asymptotic and the boundary AdS solutions can be identified as Milne X R^n spacetime.