Cosmological intersecting brane solutions

TL;DR

This paper develops new dynamical intersecting brane solutions that depend on additional transverse coordinates, classifies them, and explores their applications to cosmology and brane world models, including singularity behaviors.

Contribution

It generalizes intersecting brane solutions to include dependence on relative transverse space and introduces new intersection rules, expanding the framework for cosmological and brane world applications.

Findings

Derived new dynamical intersecting brane solutions.

Constructed cosmological models resembling FLRW universes.

Developed brane world models with various codimensions.

Abstract

The recent discovery of an explicit dynamical description of p-branes makes it possible to investigate the existence of intersection of such objects. We generalize the solutions depending on the overall transverse space coordinates and time to those which depend also on the relative transverse space and satisfy new intersection rules. We give classification of these dynamical intersecting brane solutions involving two branes, and discuss the application of these solutions to cosmology and show that these give Friedmann-Lemaitre-Robertson-Walker cosmological solutions. Finally, we construct the brane world models, using the (cut-)copy-paste method after compactifying the trivial spatial dimensions. We then find that interesting brane world models can be obtained from codimension-one branes and several static branes with higher codimensions. We also classify the behaviors of the brane world near the future/past singularity.