Positive Gravitattional Energy in Arbitrary Dimensions

TL;DR

This paper provides a simplified, comprehensive proof of the positive energy theorem in General Relativity applicable to any number of spatial dimensions, utilizing only spinor techniques.

Contribution

It introduces a streamlined proof of the positive energy theorem valid in arbitrary dimensions using spinor methods, simplifying previous approaches.

Findings

Proof valid in any space dimension n

Uses only spinors on oriented Riemannian manifolds

Simplifies the existing proofs of the positive energy theorem

Abstract

We present a streamlined, complete proof, valid in arbitrary space dimension $n$, and using only spinors on the oriented Riemannian space $(M^{n};g),$ of the positive energy theorem in General Relativity.