Numerical analysis of cosmological models for accelerating Universe in Poincare gauge theory of gravity

TL;DR

This paper numerically analyzes homogeneous isotropic cosmological models within Poincare gauge gravity, demonstrating solutions that explain acceleration without dark energy and aligning with observational data.

Contribution

It introduces a numerical approach to analyze torsion-based cosmological models in Poincare gauge gravity, identifying conditions for stable accelerating solutions without dark energy.

Findings

Obtained accelerating universe solutions without dark energy.

Solutions compatible with SNe Ia and Big Bang Nucleosynthesis.

Analyzed stability and asymptotic behavior of cosmological models.

Abstract

Homogeneous isotropic models with two torsion functions built in the framework of the Poincare gauge theory of gravity based on general expression of gravitational Lagrangian by certain restrictions on indefinite parameters are analyzed numerically. Special points of cosmological solutions at asymptotics and conditions of their stability in dependence of indefinite parameters are found. Procedure of numerical integration of the system of gravitational equations at asymptotics is considered. Numerical solution for accelerating Universe without dark energy and dark matter is obtained. It is shown that by certain restrictions on indefinite parameters obtained cosmological solutions are in agreement with SNe Ia observational data and Big Bang Nucleosynthesis predictions. Statefinder diagnostics is discussed in order to compare considered cosmological model with other models.