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Periodic trajectories in static space-times

Published online by Cambridge University Press:  14 November 2011

Carlo Greco
Carlo Greco
Affiliation:
Dipartimento di Matematica, Università degli Studi di Bari, Via G. Fortunato, 70125 Bari, Italy
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Synopsis

Let R ×N equipped with the warped Lorentzian metric f2dt2 ⊕(− h), where (N, h) is a Riemannian manifold, and f: N → ]0, ∞[ is a smooth function. Then R × N is called a standard static space-time, and in this paper we look for non-trivial periodic trajectories on R × N for N compact.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 1-2 , 1989 , pp. 99 - 103
Copyright
Copyright © Royal Society of Edinburgh 1989

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References

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