Spin and Center of mass comparison between the PN approach and the asymptotic formulation

C. N Kozameh; Gonzalo D Quiroga; J. I. Nieva

Spin and Center of mass comparison between the PN approach and the asymptotic formulation

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arxiv 1711.11375 v1 pith:4ZLXHW2D submitted 2017-11-30 gr-qc

C. N Kozameh , J. I. Nieva , Gonzalo D Quiroga This is my paper · ORCID

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In this work we analyse the similarities and differences between the equations of motion for the center of mass and intrinsic angular momentum for isolated sources of gravitational radiation obtained by two different formulations. One approach is based on the asymptotic formulation of the GR whereas the other relies on Post- Newtonian methods. Several conclusions are obtained which could be useful for further developments in both approaches.

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates
gr-qc 2026-01 conditional novelty 7.0 of 10

The 4.5PN radiation-reaction acceleration of nonspinning compact binaries is derived in harmonic coordinates, including a dimensional-regularization pole, and is shown to satisfy flux-balance laws and Lorentz invariance.

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