A characterization of the EIH equations of motion for two particles

Details A characterization of the EIH equations of motion for two particles A characterization of the EIH equations of motion for two particles

Apr 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cqgra..20.1295n&link_type=abstract

Classical and Quantum Gravity, Volume 20, Issue 7, pp. 1295-1301 (2003).

Physics

Scientific paper

The Einstein-Infeld-Hoffmann (EIH) equations of motion for two point particles or spherically symmetric bodies are shown to be the unique 1PN extension of the Newtonian equations of motion which (i) are dimensionally correct and symmetric under interchange of the particles, (ii) are Poincaré invariant, (iii) agree with the geodesics of Schwarzschild (in harmonic coordinates) in the test particle limit and (iv) are the Euler-Lagrange equations of some Lagrangian which extends the Newtonian Lagrangian.

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