Hyperbolic positive energy theorem with electromagnetic fields

TL;DR

This paper proves a positive energy theorem for certain spacetime models with electromagnetic fields using spinor methods, extending classical results to more complex geometries.

Contribution

It introduces a new positive energy theorem for asymptotically anti-de Sitter Einstein-Maxwell initial data sets utilizing Witten's spinor techniques.

Findings

Positive energy theorem established for Einstein-Maxwell data

Extension of classical positive energy results to anti-de Sitter spaces

Use of spinor methods in gravitational energy proofs

Abstract

We establish a type of positive energy theorem for asymptotically anti-de Sitter Einstein-Maxwell initial data sets by using Witten's spinoral techniques.