Asymptotic behaviour of a class of inhomogeneous scalar field cosmologies

TL;DR

This paper analyzes the long-term evolution of inhomogeneous scalar field cosmologies with Liouville potentials, using new variables to bound the phase space and extending the cosmic no-hair theorem.

Contribution

It introduces a new variable set for analyzing inhomogeneous scalar field cosmologies and extends the cosmic no-hair theorem to these models.

Findings

Complete phase space analysis of the cosmologies.

Bounded phase space enables detailed asymptotic behavior study.

Extension of the cosmic no-hair theorem to inhomogeneous models.

Abstract

The asymptotic behaviour of a class of inhomogeneous scalar field cosmologies with a Liouville type of potential is studied. We define a set of new variables for which the phase space of the system of Einstein equations is bounded. This allows us to perform a complete analysis of the evolution of these cosmologies. We also discuss the extension of the cosmic no-hair theorem.