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On The Motion of Particles in General Relativity Theory
Open accessAbstract
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.
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Citations
Cited by
Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
Burgess, C. P. (2004) · Living Reviews in Relativity · doi:10.12942/lrr-2004-5 · Cited by 748
Self-force and radiation reaction in general relativity
Barack, L., & Pound, A. (2019) · Reports on Progress in Physics · doi:10.1088/1361-6633/aae552 · Cited by 423
General-relativistic celestial mechanics II. Translational equations of motion
Damour, T., Soffel, M., & Xu, C. (1992) · Physical Review D · doi:10.1103/physrevd.45.1017 · Cited by 275
Metadata
- Authors
- Einstein, A., & Infeld, L.
- Venue
- Canadian Journal of Mathematics
- Publisher
- Canadian Mathematical Society
- Published
- 1949-06-01
- Volume
- 1
- Issue
- 3
- Pages
- 209-241
- ISSN
- 0008-414X (ISSN-L)
- 1496-4279
- OpenAlex
- W2321586823
- Cited by
- 201
- References
- 0
- FWCI
- 27.78
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Einstein, A., & Infeld, L. (1949). On The Motion of Particles in General Relativity Theory. Canadian Journal of Mathematics. https://doi.org/10.4153/cjm-1949-020-8
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