Radion effective potential in brane gas cosmology

TL;DR

This paper investigates how brane gas, flux, and supergravity particles influence the evolution and stabilization of extra dimensions in brane gas cosmology, revealing potential oscillations or stabilization mechanisms for internal volumes.

Contribution

It provides a detailed analysis of effective potentials in brane gas cosmology, highlighting the roles of various components in stabilizing extra dimensions and enabling anisotropic evolution.

Findings

Internal volume can oscillate or stabilize at a minimum.

Supergravity particles steepen the effective potential during shrinkage.

The three-dimensional volume can expand monotonically.

Abstract

We consider a cosmological solution which can explain anisotropic evolution of spatial dimensions and the stabilization of extra dimensions in brane gas formalism. We evaluate the effective potentials, induced by brane gas, bulk flux and supergravity particles, which govern the sizes of the observed three and the extra dimensions. It is possible that the wrapped internal volume can oscillate between two turning points or sit at the minimum of the potential while the unwrapped three dimensional volume can expand monotonically. Including the supergravity particles makes the effective potential steeper as the internal volume shrinks.