Geodesics at Sudden Singularities

TL;DR

This paper demonstrates that inhomogeneous and anisotropic sudden singularities do not cause geodesic incompleteness, extending previous isotropic results, and discusses the singularity's weakness.

Contribution

It generalizes the understanding of sudden singularities by showing they do not lead to geodesic incompleteness in more general spacetime models.

Findings

Sudden singularities are geodesically complete in inhomogeneous and anisotropic models.

The singularity is characterized as weak, not destructive to geodesics.

The results extend previous isotropic universe analyses.

Abstract

We show that a general solution of the Einstein equations that describes approach to an inhomogeneous and anisotropic sudden spacetime singularity does not experience geodesic incompleteness. This generalises the result established for isotropic and homogeneous universes. Further discussion of the weakness of the singularity is also included.