1993/04/15 by Lars Andersson, Piotr T. Chruściel, Piotr T. Chrusciel · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cauchy distribution #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Geometry #Infinity #Initial value problem #Mathematical analysis #Mathematical physics #Mathematics #Null (SQL) #Physics #Quantum mechanics #Smoothness #Space (punctuation) #gr-qc
paper · pdf · doi:10.1103/physrevlett.70.2829
published as Phys.Rev.Lett. 70 (1993) 2829-2832 · 8 pages, revtex style
arxiv created 1993/04/15 · openalex publication_date 1993/05/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Various works have suggested that the Bondi-Sachs-Penrose decay conditions on the gravitational field at null infinity are not generally representative of asymptotically flat spacetimes. We have made a detailed analysis of the constraint equations for ``asymptotically hyperboloidal'' initial data and find that log terms arise generically in asymptotic expansions. These terms are absent in the corresponding Bondi-Sachs-Penrose expansions, and can be related to explicit geometric quantities. We have nevertheless shown that there exists a large class of ``nongeneric'' solutions of the constraint equations, the evolution of which leads to spacetimess satisfying the Bondi-Sachs-Penrose smoothness conditions.