On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems

Felix Finster, Albert Much, Kyriakos Papadopoulos

Published 2021-07-15Version 1

This Chapter is an up-to-date account of results on globally hyperbolic spacetimes, and serves as a multitool; we start the exposition of results from a foundational level, where the main tools are order-theory and general topology, we continue with results of a more geometric nature, and we finally reach results that are connected to the most recent advances in theoretical physics. In each case, we list a number of open questions and we finally introduce a conjecture, on sliced spaces.