Dynamical Analysis of Scalar Field Cosmologies with Spatial Curvature

TL;DR

This paper investigates how spatial curvature affects the dynamical evolution of scalar field cosmologies with exponential potentials, revealing new fixed points and analyzing the impact on the equation-of-state parameter.

Contribution

It introduces additional fixed points in scalar field cosmologies caused by spatial curvature and analyzes their effects on cosmic evolution.

Findings

Identification of two new fixed points due to curvature

Analysis of the effective equation-of-state parameter evolution

Impact of initial curvature values on cosmological dynamics

Abstract

We explore the dynamical behaviour of cosmological models involving a scalar field (with an exponential potential and a canonical kinetic term) and a matter fluid with spatial curvature included in the equations of motion. Using appropriately defined parameters to describe the evolution of the scalar field energy in this situation, we find that there are two extra fixed points that are not present in the case without curvature. We also analyse the evolution of the effective equation-of-state parameter for different initial values of the curvature.