Relations Between Lightlike Foliations and Observers in Symplectic Mechanics

Details Relations Between Lightlike Foliations and Observers in Symplectic Mechanics Relations Between Lightlike Foliations and Observers in Symplectic Mechanics

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001rfg..conf..253b&link_type=abstract

REFERENCE FRAMES AND GRAVITOMAGNETISM. Proceedings of the XXIII Spanish Relativity Meeting. Held 6-9 September 2000 in Valladoli

Physics

Scientific paper

We study lightlike distributions of codimension 1 for any observer U and we define the U-parallelizations that describe these distributions. We obtain two kinds of representations: Ω and Ω U-. These distributions describe the two different directions of propagation of the system, always respect to the observer U. Relations between different observers respect to a given lightlike distribution are studied, and necessary conditions for the integrability of Ω and Ω U- are given. Finally, we show by a counterexample that if Ω is a foliation then Ω U- is not necessarily a foliation. In this case, the observer U is not a suitable observer.

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