Reconstruction of Cosmological Evolution in the Presence of Extra Dimensions

TL;DR

This paper demonstrates how a multidimensional cosmological model with extra dimensions can reproduce late-time universe behavior similar to the standard Lambda-CDM model, highlighting the role of Kasner-type solutions and fluid dynamics.

Contribution

It shows that a Kasner-type solution in Universal Extra Dimensions can serve as an attractor, reproducing standard cosmology without explicit stabilization mechanisms.

Findings

Late-time cosmology similar to Lambda-CDM achieved

Kasner-type solutions act as attractors for initial conditions

Extra dimensions stabilized through fluid behavior

Abstract

The model of Physics resulting from a Kaluza-Klein dimensional reduction procedure offers very good dark matter candidates in the form of Light Kaluza-Klein Particles, and thus becomes relevant to Cosmology. In this work we recover a late-time cosmological picture, similar to that of the $\Lambda$CDM, in a multidimensional scenario, in the general framework of Universal Extra Dimensions. This is achieved by utilizing a special, Kasner-type solution that is analytically known, and acts as an attractor for a plethora of pairs of initial conditions of the usual and extra spatial Hubble parameters. The phenomenology of fundamental interactions dictates the stabilization of the extra dimensional evolution from a very early epoch in these scenarios. Without an explicit mechanism, this is achieved through particular behaviors of the usual and extra spatial fluids, which have to be motivated by a more fundamental theory.