Einstein-Infeld-Hoffmann (EIH) Method Sources
Note: The first two papers are composed of several large .jpg files, so they may take several minutes to display. If some of the pages come out as little squares with an X in the middle, right click on them and hit "show picture". To print these papers, set your Page Setup to landscape with .0" margins.
"On the motion of particles in general relativity theory"
A. Einstein and L. Infeld, Can. J. Math. Vol. 1 (1949) p.209.
"Relativistic equations of motion in electromagnetic theory"
P. R. Wallace, Am. J. Math. Vol. 63 (1941) p.729.
The thesis of P. R. Wallace contains details of the calculations above, but it is currently only available on interlibrary loan from the University of Toronto library, not from ProQuest.
"On the Relativistic Equations of Motion in Electromagnetic Theory"
P. R. Wallace, University of Toronto, Doctoral thesis, 1940.
"Obtaining equations of motion for charged particles in the (v/c)3-approximation by the Einstein-Infeld-Hoffmann method"
M.V.Gorbatenko, Theor. Math. Phys. (Springer-Verlag), Vol. 142, (2005), p. 138.
Appendix F of my dissertation shows that the EIH post-Coulombian equations of motion derived by the two authors above match the equations derived from the Darwin lagrangian.
Shifflett_James_A_Dissertation.pdf (self-archived version),
http://gradworks.umi.com/33/16/3316678.html (ProQuest version).
Here is one of my papers where the EIH method is applied to another theory:
"A modification of Einstein-Schrodinger theory that contains both general relativity and electrodynamics" (Gen. Rel. Grav. version),
"A modification of Einstein-Schrodinger theory that contains both general relativity and electrodynamics" (arxiv.org version),
The EIH method can also be applied to point-particle solutions of electro-vac Einstein-Maxwell-Yang-Mills theory.
"Solution by the Einstein-Infeld-Hoffmann method of the problem of the motion of color particles and the dynamics of a gauge field"
M.V.Gorbatenko, Theor. Math. Phys., Vol. 104, No.3 (1995), p. 1120-1128.
Go back to my EIH page.