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The Coordinate Conditions and the Equations of Motion

Published online by Cambridge University Press:  20 November 2018

L. Infeld
L. Infeld*
Affiliation:
Institute for Theoretical Physics and State Mathematical Institute, Warsaw
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The problem of the field equations and the equations of motion in general relativity theory is now sufficiently clarified. The equations of motion can be deduced from pure field equations by treating matter as singularities, [2; 3], or from field equations with the energy momentum tensor [4]. Recently two papers appeared in which the problem of the coordinate system was considered [5; 8]. The two papers are in general agreement as far as the role of the coordinate system is concerned. Yet there are some differences which require clarification.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 17 - 25
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Einstein, A. and Grommer, I., Allgemeine Relativitätstheorie und Bewegungsgesetz, S.B. preuss. Akad. Wiss, 1 (1927).Google Scholar
2. Einstein, A., Infeld, L., and Hoffmann, B., The gravitational equations and the problems ofmotion, Ann. Math., 89 (1938), 66–100.Google Scholar
3. Einstein, A. and Infeld, L., On the motion of particles in general relativity theory, Can. J. Math., 1 (1949), 209–241.Google Scholar
4. Fock, V. A., Sur le mouvement des masses finies d'aprés la théorie de gravitation einsteinienne, J. Phys. (U.S.S.R.), 1 (1939), 81–116.Google Scholar
5. Infeld, L. and Scheidegger, A. E., Radiation and gravitational equations of motion, Can. J. Math., 8 (1951), 195–207.Google Scholar
6. Infeld, L. and Schild, A., On the motion of test particles in general relativity, Rev. Mod. Phys., 21 (1949), 408–413.Google Scholar
7. Papapetrou, A., Equations of motion in general relativity, Proc. Phys. Soc, A, 64 (1951), 57–75.Google Scholar
8. Papapetrou, A., Equations of motion in general relativity: II The coordinate condition, Proc. Phys. Soc, A, 64 (1951), 302–310.Google Scholar
9. Teisseyre, R. (in preparation).Google Scholar