Kantowski-Sachs cosmology in scalar-torsion theory

TL;DR

This paper explores the evolution and stability of anisotropies in Kantowski-Sachs cosmology within scalar-torsion theory, analyzing phase-space dynamics with exponential and power-law potentials and examining behavior at infinity.

Contribution

It introduces a phase-space analysis of Kantowski-Sachs cosmology in scalar-torsion theory, including stability of stationary points and behavior at infinity.

Findings

Identification of stationary points and their stability properties.

Analysis of anisotropy evolution in scalar-torsion cosmology.

Existence of stationary points at infinity using Poincare variables.

Abstract

In the context of scalar-torsion theory we investigate the evolution of the cosmological anisotropies for a Kantowski-Sachs background geometry. We study the phase-space of the gravitational field equations by determining the admitted stationary points and study their stability properties. For the potential function of the non-minimally coupled scalar field we assume the exponential and the power-law functions. Finally, we make use of Poincare variables in order to investigate the existence of stationary points at the infinity regime of the dynamics.