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

2007/10/19 by Piotr T. Chruściel, Piotr T. Chrusciel · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #gr-qc

paper · pdf · doi:10.1016/j.aop.2007.12.010

published as AnnalsPhys.323:2566-2590,2008 · 33 pages in A4

arxiv created 2007/10/19 · openalex publication_date 2008/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the validity of Brill's axisymmetric positive energy theorem to all asymptotically flat initial data sets with positive scalar curvature on simply connected manifolds.

Cited by

• Angular Momentum-Mass Inequality for Axisymmetric Black Holes
• The positive mass theorem with angular momentum and charge for manifolds with boundary
• Stationary Black Holes: Uniqueness and Beyond
• Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum
• Remarks on mass and angular momenta for U(1)2-invariant initial data
• Specifying Angular Momentum and Center of Mass for Vacuum Initial Data Sets
• Lower bounds for the area of black holes in terms of mass, charge, and angular momentum

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