Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling

2007/04/20 by Jing Zeng, Clifford M. Will · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.1007/s10714-007-0475-6

published as Gen.Rel.Grav.39:1661-1673,2007 · 12 pages, submitted to General Relativity and Gravitation

arxiv created 2007/04/20 · openalex publication_date 2007/07/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study gravitational radiation reaction in the equations of motion for binary systems with spin-orbit coupling, at order (v/c)⁷ beyond Newtonian gravity, or O(v/c)² beyond the leading radiation reaction effects for non-spinning bodies. We use expressions for the energy and angular momentum flux at infinity that include spin-orbit corrections, together with an assumption of energy and angular momentum balance, to derive equations of motion that are valid for general orbits and for a class of coordinate gauges. We show that the equations of motion are compatible with those derived earlier by a direct calculation.

Citations

• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling

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