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Geodesic connectedness and conjugate points in GRW space–times

✍ Scribed by José Luis Flores; Miguel Sánchez

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
230 KB
Volume
36
Category
Article
ISSN
0393-0440

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✦ Synopsis

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.

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