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Geodesic connectedness in Gödel type space-times

✍ Scribed by Anna Maria Candela; Miguel Sánchez


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
119 KB
Volume
12
Category
Article
ISSN
0926-2245

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✦ Synopsis


In this paper we use a variational approach in order to prove the geodesic connectedness of some Gödel type space-times; moreover direct methods allow to prove the geodesic connectedness of the Gödel Universe. At last a result of geodesic completeness is given.


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✍ José Luis Flores; Miguel Sánchez 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 230 KB

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. Applicat