Nonsingular Bouncing Model in Closed and Open universe

TL;DR

This paper explores a cosmological model with a noncanonical scalar field in open and closed universes, identifying stable bouncing solutions through dynamical analysis.

Contribution

It introduces a new class of bouncing cosmological solutions with noncanonical scalar fields in open and closed FRW universes, analyzed via fixed point stability.

Findings

Stable bouncing solutions identified in both open and closed universes.

Dynamical variables effectively describe the bouncing behavior.

Conditions for stability and bounce are established.

Abstract

We investigate the cosmology of a class of model with noncanonical scalar field and matter both in FRW closed and open background. Writing the Einstein Equations in terms of dimensionless dynamical variables suitable for studying bouncing solutions, a fixed point analysis is carried out. Cosmological solutions satisfying the stability and bouncing conditions are obtained.