Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential

TL;DR

This paper investigates inflationary homogeneous cosmological models within Einstein-Aether gravity, focusing on scalar fields with a generalized harmonic potential, and analyzes their stability and acceleration behavior.

Contribution

It introduces a new framework for analyzing Einstein-Aether cosmologies with scalar fields and generalized potentials, providing stability analysis and conditions for accelerated expansion.

Findings

Existence of stable accelerating expansion attractors.

Parameter ranges allowing for accelerated expansion.

Autonomous system formulation for stability analysis.

Abstract

Inflationary spatially homogeneous cosmological models within an Einstein-Aether gravitational framework are investigated. The matter source is assumed to be a scalar field which is coupled to the aether field expansion and shear scalars through the generalized harmonic scalar field potential. The evolution equations are expressed in terms of expansion-normalized variables to produce an autonomous system of ordinary differential equations suitable for numerical and local stability analysis. An analysis of the local stability of the equilibrium points indicate that there exists a range of values of the parameters in which there exists an accelerating expansionary future attractor.