A note on the arrow of time in nonminimally coupled scalar field FRW cosmology

TL;DR

This paper examines the cyclic universe scenario within nonminimally coupled scalar field FRW cosmology, confirming its viability for certain potentials and couplings while identifying cases where it fails.

Contribution

It provides a detailed analysis of the cyclic universe model's applicability in nonminimally coupled scalar field cosmology, highlighting conditions for success and failure.

Findings

Cyclic scenario works for quartic potential with standard nonminimal coupling

Certain cases of potential and coupling lead to failure of the cyclic model

Identifies reasons behind the success or failure of the cyclic scenario

Abstract

We revisit the cyclic Universe scenario in scalar field FRW cosmology and check its applicability for a nonminimally coupled scalar field. We show that for the most popular case of a quartic potential and the standard nonminimal coupling this scenario does work. On the other hand, we identify certain cases where cyclic model fails to work and present corresponding reasons for this.