Causal structures and causal boundaries

TL;DR

This paper provides a comprehensive overview of causal structures, boundaries, and symmetries in Lorentzian manifolds, highlighting recent developments and their applications in understanding spacetime geometry.

Contribution

It offers an updated, unified perspective on the theory of causal properties, structures, boundaries, and symmetries, integrating recent advances and broader settings.

Findings

Classification of causal structures and properties

Construction methods for causal boundaries

Applications in Lorentzian geometry and spacetime analysis

Abstract

We give an up-to-date perspective with a general overview of the theory of causal properties, the derived causal structures, their classification and applications, and the definition and construction of causal boundaries and of causal symmetries, mostly for Lorentzian manifolds but also in more abstract settings.