Geodesic connectedness and conjugate points in GRW space-times

Authors
Flores, JL Sanchez, M
Citation
Jl. Flores et M. Sanchez, Geodesic connectedness and conjugate points in GRW space-times, J GEOM PHYS, 36(3-4), 2000, pp. 285-314
Citations number
21
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
36
Issue
3-4
Year of publication
2000
Pages
285 - 314
Database
ISI
SICI code
0393-0440(200012)36:3-4<285:GCACPI>2.0.ZU;2-8
Abstract
Given two points of a generalized Robertson-Walker space-time, the existenc e, multiplicity and causal character of geodesics connecting them is charac terized. Conjugate points of such geodesics are related to conjugate points of geodesics on the fiber, and Morse-type relations are obtained. Applicat ions to bidimensional space-times and to GRW space-times satisfying the tim elike convergence condition are also found. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 83C15; 53C22; 53C50.