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Geodesic connectedness of multiwarped spacetimes

1999/09/14 by José Luis Flores, Jose L. Flores, Miguel Sánchez +3
Mathematics · Physics and Astronomy · #53C22 #53C50 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:53C22 #msc:53C50

paper · pdf · doi:10.48550/arxiv.math/9909075

31 pages, Latex

arxiv created 1999/09/14 · openalex publication_date 1999/09/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new technique for the study of geodesic connectedness in a class of Lorentzian manifolds is introduced. It is based on arguments of Brouwer's topological degree for the solution of functional equations. It is shown to be very useful for multiwarped spacetimes, which include different types of relativistic spacetimes.

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