First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals

Abstract

The rotational dynamics of an $N$-body system at the first post-Newtonian order in Einstein-Cartan theory is derived. This result is achieved by performing the point-particle limit of the equations of motion of the Weyssenhoff fluid, which models the quantum spin effects residing inside the bodies. For the special case of binary systems, we determine the Lagrangian function and the resulting first integrals underlying the translational dynamics and the spin precession.

v2: matches the published version in EPJ C

References in corpus (3)

• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: equations of motion
• Collapse and dispersal of a homogeneous spin fluid in Einstein-Cartan theory
• Dark matter from torsion in Friedmann cosmology

Cited by in corpus (4)

• Analytical results for binary dynamics at the first post-Newtonian order in Einstein-Cartan theory with the Weyssenhoff fluid
• Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein-Cartan theory
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Comparison and application of different post-Newtonian models for inspiralling stellar-mass binary black holes with space-based GW detectors