To theory of asymptotically stable accelerating Universe in Riemann-Cartan spacetime

TL;DR

This paper analyzes homogeneous isotropic cosmological models in Riemann-Cartan spacetime within Poincaré gauge theory, identifying conditions for stability, and presents a numerical solution for an accelerating universe without dark energy.

Contribution

It introduces a new analysis of stable asymptotic solutions in Riemann-Cartan spacetime and provides a numerical model of acceleration without dark energy.

Findings

Identification of special points for flat models at asymptotics

Conditions for stability depending on indefinite parameters

Numerical solution demonstrating acceleration without dark energy

Abstract

Homogeneous isotropic cosmological models built in the framework of the Poincar\'e gauge theory of gravity based on general expression of gravitational Lagrangian with indefinite parameters are analyzed. Special points of cosmological solutions for flat cosmological models 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 is obtained.