In this paper we obtain an existence theorem for normal geodesics joining two given submanifolds in a globally hyperbolic stationary spacetime M. The proof is based on both variational and geometric arguments involving the causal structure of M, the completeness of suitable Finsler metrics associated to it and some basic properties of a submersion. By this interaction, unlike previous results on the topic, also non-spacelike submanifolds can be handled.
|Autori interni:||CAPONIO, Erasmo|
|Titolo:||Normal Geodesics Connecting two Non-necessarily Spacelike Submanifolds in a Stationary Spacetime|
|Rivista:||ADVANCED NONLINEAR STUDIES|
|Data di pubblicazione:||2010|
|Appare nelle tipologie:||1.1 Articolo in rivista|