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On The Motion of Particles in General Relativity Theory

Published online by Cambridge University Press:  20 November 2018

A. Einstein  and
L. Infeld
A. Einstein
Affiliation:
Institute for Advanced Study, University of Toronto
L. Infeld
Affiliation:
Institute for Advanced Study, University of Toronto
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The gravitational field manifests itself in the motion of bodies. Therefore the problem of determining the motion of such bodies from the field equations alone is of fundamental importance. This problem was solved for the first time some ten years ago and the equations of motion for two particles were then deduced [1]. A more general and simplified version of this problem was given shortly thereafter [2].

Mr. Lewison pointed out to us, that from our approximation procedure, it does not follow that the field equations can be solved up to an arbitrarily high approximation. This is indeed true.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 1 , Issue 3 , 01 June 1949 , pp. 209 - 241
Copyright
Copyright © Canadian Mathematical Society 1949

References

[1] Einstein, A., Infeld, L. and Hoffmann, B., Ann. of Math., vol. 39, 1 (1938) 66.Google Scholar
[2] Einstein, A. and Infeld, L., Ann. of Math., vol. 41, 2 (1940) 455.Google Scholar
[3] Infeld, L., Phys. Rev. vol. 53 (1938) 836.Google Scholar
[4] Infeld, L. and Wallace, P. R., Phys. Rev., vol. 57, (1940) 797.Google Scholar
[5] Robertson, H. P., Ann. of Math., vol. 39, 1 (1938) 101.Google Scholar