Geodesic behavior of sudden future singularities

TL;DR

This paper investigates how certain sudden future singularities in cosmological models affect geodesic paths, showing they are extendible and cause singular geodesic deviation without leading to a Big Rip.

Contribution

It provides a detailed analysis of geodesic behavior near sudden future singularities in FLRW spacetimes, including comparisons with phantom cosmology singularities.

Findings

Geodesics remain extendible despite singularities

Geodesic deviation equations become singular, indicating tidal effects

No Big Rip occurs despite singular geodesic deviation

Abstract

In this paper 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. For the sake of completeness, we compare with the typical sudden future singularities of phantom cosmologies.