Normal geodesics connecting two non-necessarily spacelike submanifolds in a stationary spacetime
Differential Geometry
2011-01-12 v3
Abstract
In this paper we obtain an existence theorem for normal geodesics joining two given submanifolds in a globally hyperbolic stationary spacetime. The proof is based on both variational and geometric arguments involving the causal structure of the spacetime, 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.
Keywords
Cite
@article{arxiv.0902.2754,
title = {Normal geodesics connecting two non-necessarily spacelike submanifolds in a stationary spacetime},
author = {Rossella Bartolo and Anna Maria Candela and Erasmo Caponio},
journal= {arXiv preprint arXiv:0902.2754},
year = {2011}
}
Comments
Minor revision; 16 pages