Equations of motion of test particles in the Lorentz-covariant tensor theory of gravitation

Details Equations of motion of test particles in the Lorentz-covariant tensor theory of gravitation Equations of motion of test particles in the Lorentz-covariant tensor theory of gravitation

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986velen......113b&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia (ISSN 0024-0850), Oct. 1986, p. 113-118. In Russian.

Astronomy and Astrophysics

Astrophysics

Equations Of Motion, Gravitation Theory, Particle Motion, Tensor Analysis, Astrophysics, Relativistic Theory, Relativity, Space-Time Functions, Time Lag

Scientific paper

Equations of motion for test particles in a given field are obtained in the context of the Lorentz-covariant tensor theory of gravitation in plane space-time using the method of 4-coordinate variation. With post-Newtonian accuracy, these equations are equivalent to the equations of geodesics written in harmonic coordinates when the chi constant is equal to 3/4. In the post-Newtonian approximation, equations of motion including delay effects are obtained which have important applications in relativistic celestial mechanics and relativistic astrophysics.

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