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

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.

12 pages, submitted to General Relativity and Gravitation

References in corpus (1)

• 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

Cited by in corpus (7)

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• Spinning compact binary dynamics and chameleon orbits
• Spinning compact binary inspiral II: Conservative angular dynamics
• Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order
• Equations of motion for compact binary systems in general relativity: Do they depend on the bodies' internal structure at the third post-Newtonian order?