A new proof of Geroch's theorem on temporal splitting of globally hyperbolic spacetimes

TL;DR

This paper presents a novel proof of Geroch's theorem on the existence of temporal foliations in globally hyperbolic spacetimes, utilizing recent results on causal set foliations.

Contribution

It offers a new proof of Geroch's theorem based on causal set theory, expanding the mathematical understanding of spacetime structure.

Findings

New proof of Geroch's theorem established

Utilizes causal set temporal foliations

Enhances theoretical framework of spacetime topology

Abstract

In this paper, we use our results concerning temporal foliations of causal sets in order to provide a new proof of Geroch's Theorem on temporal foliations in a globally hyperbolic spacetime.