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A note on the boundary of a static Lorentzian manifold

✍ Scribed by Rossella Bartolo; Anna Germinario; Miguel Sánchez

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
99 KB
Volume
16
Category
Article
ISSN
0926-2245

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✦ Synopsis

In this paper we characterize the convexity of the boundary ∂S of a static (standard) Lorentzian manifold S in terms of Jacobi metrics. From this result, we also obtain: (1) a characterization of the convexity of ∂S computable from its "spacelike" part, (2) the equivalence between the variational and geometrical definitions of convexity for ∂S, and (3) a very precise result on existence of geodesics joining a point and a line on S.

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