Topology and Causal Structure

TL;DR

This paper explores the causal structure of spacetimes with singular metrics, aiming to understand how singularities affect the causal relationships within these models.

Contribution

It provides a novel analysis of the causal properties of spacetimes with singular metrics, extending existing theories to include singular points.

Findings

Characterization of causal structures near singularities

Conditions under which causal relationships are preserved

Implications for the understanding of spacetime singularities

Abstract

We investigate the causal structure of spacetimes $(M, g)$ for which the metric $g$ is singular on a set of points.