Induced cosmology on a codimension-2 brane in a conical bulk

TL;DR

This paper investigates the cosmological behavior of a 5-dimensional brane in a conical bulk, demonstrating that with proper parameters, its dynamics can resemble standard 4-dimensional cosmology.

Contribution

It introduces a model of a regularized codimension-2 brane with a curvature term in a conical bulk, analyzing its cosmological evolution through brane motion and junction conditions.

Findings

Cosmology on the brane can mimic standard 4D cosmology with suitable parameters.

The model provides a consistent framework for brane-world cosmology in higher dimensions.

Dynamical junction conditions are key to deriving the cosmological dynamics.

Abstract

We study the cosmology of a 5-dimensional brane, which represents a regularization of a 4-dimensional codimension-2 brane, embedded in a conical bulk. The brane is assumed to be tensional, and to contain a curvature term. Cosmology is obtained by letting the brane move trough the bulk, and implementing dynamical junction conditions. Our results shows that, with suitable choices of the parameters, the resulting cosmological dynamics mimics fairly well standard 4-dimensional cosmology.