On the spacetime positive energy theorem in arbitrary dimension

TL;DR

This paper extends the spacetime positive energy theorem to arbitrary dimensions by building on Riemannian positive mass theorem work, utilizing the Jang equation and shielding principle.

Contribution

It introduces a new proof of the spacetime positive energy theorem in higher dimensions using advanced geometric analysis techniques.

Findings

Proof applies to dimensions n ≥ 4.

Builds on Schoen-Yau and Eichmair's work.

Utilizes the Jang equation with a capillary term.

Abstract

We describe how the spacetime positive energy theorem in dimension $n \geq 4$ follows from our recent work on the Riemannian version of the positive mass theorem. Our proof builds on the fundamental work of Schoen and Yau and the remarkable work of Eichmair, and uses the Jang equation with a capillary term. We also use the shielding principle from the work of Lesourd-Unger-Yau.