Velocity dominated singularities in the cheese slice universe

TL;DR

This paper explores how certain matched spacetimes, specifically in the cheese slice universe, can inherit velocity dominated singularity properties, providing a criterion to identify AVTD spacetimes and illustrating this with a concrete example.

Contribution

It introduces a criterion for testing AVTD properties in matched spacetimes and demonstrates its application using the cheese slice universe example.

Findings

Matched spacetimes can inherit AVTD properties from component spacetimes.

The singularity in the cheese slice universe matching is AVTD.

A new criterion for AVTD property testing is proposed.

Abstract

We investigate the properties of spacetimes resulting from matching together exact solutions using the Darmois matching conditions. In particular we focus on the asymptotically velocity term dominated property (AVTD). We propose a criterion that can be used to test if a spacetime constructed from a matching can be considered AVTD. Using the Cheese Slice universe as an example, we show that a spacetime constructed from a such a matching can inherit the AVTD property from the original spacetimes. Furthermore the singularity resulting from this particular matching is an AVTD singularity.