On causal properties of symmetric Lorentzian spaces

TL;DR

This paper investigates the causal properties of Lorentzian symmetric spaces, establishing the global hyperbolicity of Cahen--Wallach spaces, which enhances understanding of their causal structure in general relativity.

Contribution

It proves the global hyperbolicity of Cahen--Wallach Lorentzian symmetric spaces, providing new insights into their causal properties.

Findings

Cahen--Wallach spaces are globally hyperbolic

Causal properties of Lorentzian symmetric spaces are characterized

Enhances understanding of spacetime structures in relativity

Abstract

Causal properties of Lorentzian symmetric spaces are investigated in the paper. The global hyperbolicity of the Cahen--Wallach Lorentzian symmetric spaces is proved.