http://arxiv.org/abs/2208.09839
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.
E. Battista and V. Falco
Tue, 23 Aug 22
27/79
Comments: Paper features: 13 pages; 1 figure; 67 references. Accepted on EPJ C on the 20th of August 2022