Aspects of $C^0$ causal theory

TL;DR

This paper introduces aspects of $C^0$ causal theory, emphasizing its role in proving spacetime inextendibility in low regularity contexts related to the strong cosmic censorship conjecture, without assuming prior causal theory knowledge.

Contribution

It provides a self-contained overview of $C^0$ causal theory focusing on its applications to spacetime inextendibility and the strong cosmic censorship conjecture.

Findings

Highlights the usefulness of $C^0$ causal theory in low regularity spacetime analysis

Establishes foundational concepts for inextendibility results

Connects causal theory with the strong cosmic censorship conjecture

Abstract

This paper serves as an introduction to $C^0$ causal theory. We focus on those parts of the theory which have proven useful for establishing spacetime inextendibility results in low regularity -- a question which is motivated by the strong cosmic censorship conjecture in general relativity. This paper is self-contained; prior knowledge of causal theory is not assumed.