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Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order

Samaya Nissanke·Luc Blanchet
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Abstract

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone metric and equations of motion of an extended isolated system, using appropriate ``asymptotically matched'' flat-space-time retarded potentials. The formalism is subsequently applied to binary systems of point particles, with the help of the Hadamard self-field regularisation. Our result is the 3.5PN acceleration term in a general harmonic coordinate frame. Restricting the expression to the centre-of-mass frame, we find perfect agreement with the result derived in a class of coordinate systems by Iyer and Will using the energy and angular momentum balance equations.

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Samaya Nissanke, Luc Blanchet. 2005-01-26. Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order. https://doi.org/10.1088/0264-9381%2F22%2F6%2F008

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