Exact plane symmetric cosmological solutions for a massless scalar field and cosmological constant

TL;DR

This paper derives exact plane-symmetric cosmological solutions involving a massless scalar field and cosmological constant, revealing models with early inflation and sustained expansion consistent with the Concordance Model.

Contribution

It provides new analytic solutions for plane-symmetric cosmologies with scalar fields and cosmological constant, extending previous static solutions to dynamic, cosmologically relevant models.

Findings

Solutions exhibit early inflation and ongoing rapid expansion.

Models align with the Concordance Cosmological Model.

Analytic continuation links static and dynamic solutions.

Abstract

The Klein-Gordon equations were recently solved in general relativity for the case of a plane-symmetric static massless scalar field with cosmological constant. By analytic continuation, time-dependent solutions can be obtained that correspond to cosmologies. These spacetimes are studied here, and include among them a solution exhibiting both early inflation and later continued rapid expansion that matches well with the Concordance Model.