Chronology Protection and Non-Naked Singularity

TL;DR

This paper investigates the chronology protection conjecture in classical general relativity by analyzing finitely vicious space-times and demonstrating that non-naked singularities can prevent causality violations.

Contribution

It introduces singularity theorems for finitely vicious space-times and shows that non-naked singularities can inhibit certain types of chronology violations.

Findings

Singularity theorems applicable to finitely vicious space-times.

Non-naked singularities prevent specific chronology violations.

Causal features of singularities are key to avoiding causality issues.

Abstract

We test the chronology protection conjecture in classical general relativity by investigating finitely vicious space-times. First we present singularity theorems in finitely vicious space-times by imposing some restrictions on the chronology violating sets. In the theorems we can refer to the location of an occurring singularity and do not assume any asymptotic conditions such as the existence of null infinities. Further introducing the concept of a non-naked singularity, we show that a restricted class of chronology violations cannot arise if all occurring singularities are the non-naked singularities. Our results suggest that the causal feature of the occurring singularities is the key to prevent the appearance of causality violation.