Cosmological evolution of regularized branes in 6D warped flux compactifications

TL;DR

This paper investigates the cosmological evolution of regularized branes within 6D warped flux compactifications, revealing non-standard cosmology and critical points that the branes cannot cross, in models with complex scalar fields and gauge interactions.

Contribution

It introduces a detailed analysis of brane dynamics in 6D warped flux models, highlighting the existence of critical points and deviations from standard cosmology.

Findings

Branes encounter critical points they cannot cross during evolution.

The brane cosmology differs from standard models at low energies.

The bulk geometry remains static while branes evolve within it.

Abstract

We study the cosmological evolution of extended branes in 6D warped flux compactification models. The branes are endowed with the three ordinary spatial dimensions, which are assumed to be homogeneous and isotropic, as well as an internal extra dimension compactified on a circle. We embed these codimension 1 branes in a static bulk 6D spacetime, whose geometry is a solution of 6D Einstein-Maxwell or Einstein-Maxwell-dilaton theories, corresponding to a warped flux compactification. The brane matter consists of a complex scalar field which is coupled to the bulk U(1) gauge field. In both models, we show that there is critical point which the brane cannot cross as it moves in the bulk. We study the cosmological behaviour, especially when the brane approaches this critical point or one of the two conical singularities. In the present setup where the bulk geometry is fixed, we find that the brane cosmology does not coincide with the standard one in the low energy limit.