Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum

2007/12/31 by Piotr T. Chruściel, Yanyan Li, Gilbert Weinstein · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum operator #Classical mechanics #Engineering #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Inequality #Invariant (physics) #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Point processes and geometric inequalities #Total angular momentum quantum number #gr-qc

paper · pdf · doi:10.1016/j.aop.2007.12.011

published as AnnalsPhys.323:2591-2613,2008 · added Appendix C on uniqueness

openalex publication_date 2008/01/11 · arxiv created 2008/05/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We extend the validity of Dain's angular-momentum inequality to maximal, asymptotically flat, initial data sets on a simply connected manifold with several asymptotically flat ends which are invariant under a U(1) action and which admit a twist potential.

Citations

• Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass

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