Scalar field cosmological models with finite scale factor singularities

TL;DR

This paper develops scalar field cosmological models featuring finite scale factor singularities, classifies their evolution types, and analyzes their behaviors using qualitative differential equations methods.

Contribution

It introduces a new class of scalar field models with finite scale factor singularities and provides a comprehensive qualitative analysis of their cosmological evolutions.

Findings

Four classes of cosmological evolution identified

Two models have finite lifetimes, two undergo infinite expansion

Complete description of dynamics using qualitative methods

Abstract

We construct a scalar field based cosmological model, possessing a cosmological singularity characterized by a finite value of the cosmological radius and an infinite scalar curvature. Using the methods of the qualitative theory of differential equations, we give a complete description of the cosmological evolutions in the model under consideration. There are four classes of evolutions, two of which have finite lifetimes, while the other two undergo an infinite expansion.