Vacuum space-times with controlled singularities and without symmetries

TL;DR

This paper constructs a family of four-dimensional vacuum space-times that exhibit controlled singularities and lack symmetries, advancing understanding of singularity behavior in general relativity.

Contribution

It introduces new vacuum solutions with asymptotically velocity dominated singularities and no symmetries, expanding the class of known space-time models.

Findings

Existence of vacuum space-times with controlled singularities

Absence of symmetries in these solutions

Characterization of asymptotic velocity dominance

Abstract

We present a family of four-dimensional vacuum space-times with asymptotically velocity dominated singularities and without symmetries.