Cyclic Universes from General Collisionless Braneworld Models

TL;DR

This paper demonstrates that cyclic universe behavior can naturally emerge in general 5D braneworld models without requiring brane collisions, with cosmological constants playing a key role in the cyclic dynamics.

Contribution

It shows that cyclic solutions arise naturally in general collisionless braneworld models without additional assumptions or brane collisions.

Findings

Cyclic behavior can occur in a fraction of physically acceptable solutions.

Cyclicity is driven by the cosmological constants on the branes.

The period and scale of cycles are astronomically large due to the small observed cosmological constant.

Abstract

We investigate the full 5D dynamics of general braneworld models. Without making any further assumptions we show that cyclic behavior can arise naturally in a fraction of physically accepted solutions. The model does not require brane collisions, which in the stationary case remain fixed, and cyclicity takes place on the branes. We indicate that the cosmological constants play the central role for the realization of cyclic solutions and we show that its extremely small value on the observable universe makes the period of the cycles and the maximum scale factor astronomically large.