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First post-Newtonian N-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: equations of motion
Emmanuele Battista1, Vittorio De Falco2,3
1Department of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
Abstract:
We derive the equations of motion for an N-body system in the Einstein-Cartan gravity theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin model. Our approach consists in performing the point-particle limit of the continuous description of the gravitational source. The final equations provide a hint for the validity of the effacing principle at 1PN level in Einstein-Cartan model. The analogies with the general relativistic dynamics involving the macroscopic angular momentum are also discussed.
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