A note on geodesic connectedness of Gödel type spacetimes

2011/06/01 by R. Bartolo, Bartolo, R., A. M. Candela +3
Mathematics · #53C22 #53C50 #58E10 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C22 #msc:53C50 #msc:58E10

paper · pdf · doi:10.48550/arxiv.1106.0211

14 pages

arxiv created 2011/06/01 · arxiv updated 2011/06/02

Abstract

In this note we reduce the problem of geodesic connectedness in a wide class of Gödel type spacetimes to the search of critical points of a functional naturally involved in the study of geodesics in standard static spacetimes. Then, by using some known accurate results on the latter, we improve previous results on the former.

Related

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