Stabilization of the Extra Dimensions in Brane Gas Cosmology with Bulk Flux

TL;DR

This paper explores how bulk fluxes in brane gas cosmology can stabilize extra dimensions by creating an effective potential, leading to oscillating internal dimensions while the observable universe expands.

Contribution

It demonstrates that bulk RR flux can generate an effective potential that stabilizes internal dimensions, a novel mechanism in brane gas cosmology.

Findings

Bulk RR flux creates a stabilizing effective potential.

Internal dimensions can oscillate around a stable point.

Unwrapped dimensions expand monotonically.

Abstract

We consider the anisotropic evolution of spatial dimensions and the stabilization of internal dimensions in the framework of brane gas cosmology. We observe that the bulk RR field can give an effective potential which prevents the internal subvolume from collapsing. For a combination of $(D-3)$-brane gas wrapping the extra dimensions and 4-form RR flux in the unwrapped dimensions, it is possible that the wrapped subvolume has an oscillating solution around the minimum of the effective potential while the unwrapped subvolume expands monotonically. The flux gives a logarithmic bounce to the effective potential of the internal dimensions.