Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions

2005/12/06 by Piotr T. Chruściel, Piotr T. Chrusciel, Daniel Maerten · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Geometric Analysis and Curvature Flows #Spectral Theory in Mathematical Physics #gr-qc

paper · pdf · doi:10.1063/1.2167809

published as J.Math.Phys. 47 (2006) 022502

arxiv created 2005/12/06 · openalex publication_date 2006/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions n⩾3, are only possible for initial data arising from embeddings in Minkowski space-time.

Citations

• The mass of an asymptotically flat manifold
• Arnowitt-Deser-Misner energy and g00
• A new proof of the positive energy theorem

Cited by

• Energy in higher-dimensional spacetimes
• Stationary Black Holes: Uniqueness and Beyond
• Equality in the Spacetime Positive Mass Theorem
• The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting