Existence of CMC Cauchy surfaces from a spacetime curvature condition

TL;DR

This paper proves that under a specific curvature condition linked to the strong energy condition, a spacetime necessarily contains a compact CMC Cauchy surface, advancing understanding of spacetime geometry.

Contribution

It establishes the existence of a compact CMC Cauchy surface based on a new curvature condition related to the strong energy condition.

Findings

Existence of compact CMC Cauchy surface under certain curvature conditions

Connection between curvature conditions and spacetime topology

Advancement in understanding spacetime Cauchy surfaces

Abstract

In this note we present a result establishing the existence of a compact CMC Cauchy surface from a curvature condition related to the strong energy condition.