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The annoying null boundaries

2018/01/18 by Piotr T. Chruściel, Paul Klinger
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Boundary (topology) #Boundary value problem #Class (philosophy) #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Null (SQL) #Work (physics) #gr-qc #math.DG

paper · pdf · doi:10.1088/1742-6596/968/1/012003

15 pages

arxiv created 2018/01/18 · openalex created_date 2018/01/26 · openalex publication_date 2018/02/01 · arxiv updated 2018/03/14 · openalex updated_date 2026/08/06

Abstract

We consider a class of globally hyperbolic space-times with "expanding singularities". Under suitable assumptions we show that no C 0 -extensions across a compact boundary exist, while the boundary must be null wherever differentiable (which is almost everywhere) in the non-compact case.

Citations