Cosmological Evolution and Stability of a Bouncing Universe with Non-Minimal Kinetic Coupling Gravity

TL;DR

This paper models a bouncing universe with non-minimal kinetic coupling, analyzing its stability, evolution, and reconstruction, providing insights into the early universe and bounce phase through dynamical system analysis.

Contribution

It introduces a novel approach by directly deriving the scale factor from the model and fitting it with an exponential function, exploring the bounce and early universe.

Findings

The scale factor fits an exponential function during the bounce.

The universe's stability is confirmed via phase-space analysis.

Cosmological parameters evolve consistently over time.

Abstract

In this paper, we model the bounce phase, stability, and the reconstruction of the universe by non-minimal kinetic coupling. In the process, we obtained importance information about the energy density and the matter pressure of the universe in relation to the previous universe through the bounce quantum phase. The novelty of the work is that the scale factor is obtained directly from the model and is fitted with an exponential function, with this view we explore the process of the early universe even the bounce phase. After that, we plot the cosmological parameters in terms of time evolution. In what follows, we investigate the stability of the model by dynamical system analysis in a phase plane. Finally, we examine the stability of the universe, especially in the inflationary period, by using the phase-space trajectories.