Investigations of solutions of Einstein's field equations close to lambda-Taub-NUT

TL;DR

This paper numerically investigates solutions near lambda-Taub-NUT spacetimes to explore strong cosmic censorship, providing initial insights and highlighting open issues for future research.

Contribution

It introduces a numerical approach to study solutions close to lambda-Taub-NUT spacetimes and offers new insights into the strong cosmic censorship conjecture in this context.

Findings

Numerical results support strong cosmic censorship in this class.

Heuristic arguments complement the numerical findings.

Open issues and future research directions are identified.

Abstract

We present investigations of a class of solutions of Einstein's field equations close to the family of lambda-Taub-NUT spacetimes. The studies are done using a numerical code introduced by the author elsewhere. One of the main technical complication is due to the S3-topology of the Cauchy surfaces. Complementing these numerical results with heuristic arguments, we are able to yield some first insights into the strong cosmic censorship issue and the conjectures by Belinskii, Khalatnikov, and Lifschitz in this class of spacetimes. In particular, the current investigations suggest that strong cosmic censorship holds in this class. We further identify open issues in our current approach and point to future research projects.