Geodesic connectedness and conjugate points in GRW space-times

[摘要] Given two points of a generalized Robertson-Walker space-time, the existence, multiplicity and causal character of geodesics connecting them is characterized. Conjugate points of such geodesics are related to conjugate points of geodesics on the fiber, and Morse-type relations are obtained. Applications to bidimensional space-times and to GRW space-times satisfying the timelike convergence condition are also found. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 83C15; 53C22; 53C50.

[发布日期] 2000-12-01

[关键词] geodesic connectedness;conjugate points;space-times