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Global aspects of the Cauchy problem in general relativity

✍ Scribed by Yvonne Choquet-Bruhat; Robert Geroch


Publisher
Springer
Year
1969
Tongue
English
Weight
439 KB
Volume
14
Category
Article
ISSN
0010-3616

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Global Properties of Warped Solutions in
✍ M.O. Katanaev; T. KlΓΆsch; W. Kummer πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 278 KB

Assuming the four-dimensional space-time to be a general warped product of two surfaces we reduce the four-dimensional Einstein equations to a two-dimensional problem which can be solved. All global vacuum solutions are explicitly constructed and analysed. The classification of the solutions include