First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: equations of motion

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.

arXiv commentPaper features: 13 pages; 1 figure; 67 references. Accepted on EPJ C on the 20th of August 2022

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Cited by in corpus (18)

• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
• 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
• Large fluctuations and Primordial Black Holes
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Torsion at different scales: from materials to the Universe
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Comparison and application of different post-Newtonian models for inspiralling stellar-mass binary black holes with space-based GW detectors
• Algebraic classification of the gravitational field in Weyl-Cartan space-times
• Signatures of modified gravity from the gravitational Aharonov-Bohm effect
• Motions of spinning particles and chaos bound in Reissner-Nordström spacetime
• A Post-Newtonian Analysis of Regularized 4D-EGB Theory: Complete Set of PPN Parameters and Observational Constraints
• Geometry of Curved Spacetimes Equipped with Torsionful Affinities and Einstein-Cartan's Theory in Two-Component Spinor Form
• Gravitational waveforms from periodic orbits around a novel regular black hole
• Gravitational waves from equatorially eccentric extreme mass ratio inspirals around swirling Kerr black holes
• Post-Newtonian Dynamics of Radiating Charges: Canonical Formulation and Binary Inspiral Laws
• Cosmology in the De Donder-Weyl Formulation of Einstein-Cartan Gravity
• One-Dimensional Primordial Gravitational Waves In Pure Quadratic Gravity