Evolution and Dynamics of a Matter creation model

TL;DR

This paper explores a matter creation cosmological model in flat FLRW universe, demonstrating non-singular evolution with early inflation and late acceleration, supported by analytical solutions and comparison with observational data.

Contribution

It introduces a general matter creation rate model, derives its Lagrangian, and links it with scalar field dynamics and teleparallel gravity, providing a comprehensive framework for universe evolution.

Findings

Identifies a non-singular universe with two accelerated phases.

Derives analytical solutions for the Hubble function and scale factor.

Matches model predictions with PLANCK observational data.

Abstract

In a flat Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) geometry, we consider the expansion of the universe powered by the gravitationally induced `adiabatic' matter creation. To demonstrate how matter creation works well with the expanding universe, we have considered a general creation rate and analyzed this rate in the framework of dynamical analysis. The dynamical analysis hints the presence of a non-singular universe (without the big bang singularity) with two successive accelerated phases, one at the very early phase of the universe (i.e. inflation), and the other one describes the current accelerating universe, where this early, late accelerated phases are associated with an unstable fixed point (i.e. repeller) and a stable fixed (attractor) points, respectively. We have described this phenomena by analytic solutions of the Hubble function and the scale factor of the FLRW universe. Using Jacobi Last multiplier method, we have found a Lagrangian for this matter creation rate describing this scenario of the universe. To match with our early physics results, we introduce an equivalent dynamics driven by a single scalar field and discussed the associated observable parameters compared them with the latest PLANCK data sets. Finally, introducing the teleparallel modified gravity, we have established an equivalent gravitational theory in the framework of matter creation.