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Reference frames and gravitational effects in the general theory of relativity

Published online by Cambridge University Press:  04 August 2017

O. S. Ivanitskaya ,
N. V. Mitskiévič  and
Yu. S. Vladimirov
O. S. Ivanitskaya
Affiliation:
Academy of Sciences of the Belorussian SSR, 220602 Minsk, USSR
N. V. Mitskiévič
Affiliation:
P. Lumumba Peoples' Friendship University, 117302 Moscow USSR
Yu. S. Vladimirov
Affiliation:
M.V. Lomonosov Moscow State University, 117234 Moscow, USSR

Abstract

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In connection with the precision growth in modern astrometry, General Relativity (GR) has become a necessary basis of celestial mechanics and of computations of ephemerides of planets and other space objects, from the point of view of both the laws of motion and the expression of measurable (observable) quantities in terms of Reference Frames (RFs) notions. In this report we summarize the RF theory in GR (in the monad as well as in the tetrad representation) and give examples of specific gravitational effects. In any theory of RFs an important element consists on separation of the RF and system-of-coordinates (SC) notions, with a constructive description of projectors onto the physical temporal and spatial directions, of the observables as invariants (scalars) under SC transformations, as well as of the transformation laws of these observables under transitions between different RFs. For a more detailed though still incomplete synopsis of the monad and tetrad methods of RF representation in GR, see our preprint [1].

Type
Reference Frames and Astrometry
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 177 - 186
Copyright
Copyright © Reidel 1986 

References

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