Cosmological restrictions for two DGP branes in a bulk with compactified extra dimension

TL;DR

This paper explores how two branes in a higher-dimensional space with a compactified extra dimension influence each other's cosmological evolution, revealing scenarios like non-singular, recollapsing, and oscillating universes.

Contribution

It introduces cosmological restrictions linking the dynamics of two branes with a compactified extra dimension, analyzing their evolution under different matter contents.

Findings

Cosmological restrictions relate the scale factors and Hubble parameters of the two branes.

Possible universe scenarios include non-singular, recollapsing, and oscillating universes.

The presence of a cosmological constant, radiation, or matter affects the evolution of the hidden brane.

Abstract

We investigate the cosmological consequences of a two brane system embedded in a higher dimensional background spacetime with a compactified extra dimension described with an action that include the intrinsic curvature for each brane. We find that the dynamics of each brane is related to the other by means of cosmological restrictions that involve the scale factors, the equation of state parameters and the Hubble parameters of the two branes. We analyze the evolution of the scale factor and the equation of state parameter for the hidden brane when in the visible brane is present a cosmological constant, radiation or non-relativistic matter. The topological restrictions give rise to the cosmological scenarios without initial singularity, recollapsing and oscillating universes.