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

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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.

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Authors and Affiliations

  1. McDonnell Center for the Space Sciences and Department of Physics, Washington University, St. Louis, MO, 63130, USA

    Jing Zeng & Clifford M. Will

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  1. Jing Zeng
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  2. Clifford M. Will
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Correspondence to Clifford M. Will.

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Zeng, J., Will, C.M. Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling. Gen Relativ Gravit 39, 1661–1673 (2007). https://doi.org/10.1007/s10714-007-0475-6

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  • DOI: https://doi.org/10.1007/s10714-007-0475-6

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