Geodesic Completeness around Sudden Singularities

TL;DR

This paper investigates the behavior of causal geodesics in FLRW spacetimes with sudden future singularities, showing they are extendible despite singular geodesic deviation equations, indicating these singularities are weak.

Contribution

It provides a detailed analysis of geodesic extendibility and the nature of singularities in FLRW models with sudden future singularities, clarifying their physical implications.

Findings

Geodesics are extendible through sudden singularities.

Geodesic deviation equations are singular, but tidal forces are not destructive.

Sudden singularities are weak and do not cause geodesic incompleteness.

Abstract

In this talk we analyze the effect of recently proposed classes of sudden future singularities on causal geodesics of FLRW spacetimes. Geodesics are shown to be extendible and just the equations for geodesic deviation are singular, although tidal forces are not strong enough to produce a Big Rip.