Scalar field deformations of Lambda-CDM cosmology

TL;DR

This paper analyzes scalar field modifications to Lambda-CDM cosmology using dynamical systems, identifying conditions for viable models and introducing a regularized inverse power-law potential as an example.

Contribution

It reformulates scalar field cosmology as a dynamical system and establishes bounds on potential parameters for viable models, including a new regularized inverse power-law potential.

Findings

Global dynamical analysis of scalar field cosmology

Conditions for viable deformations of Lambda-CDM

Introduction of a regularized inverse power-law potential

Abstract

This paper treats nonrelativistic matter and a scalar field $\phi$ with a monotonically decreasing potential minimally coupled to gravity in flat Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. The field equations are reformulated as a three-dimensional dynamical system on an extended compact state space, complemented with cosmographic diagrams. A dynamical systems analysis provides global dynamical results describing possible asymptotic behavior. It is shown that one should impose \emph{global and asymptotic} bounds on $\lambda=-V^{-1}\,dV/d\phi$ to obtain viable cosmological models that continuously deform $\Lambda$CDM cosmology. In particular we introduce a regularized inverse power-law potential as a simple specific example.