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arXiv · 1205.3842

Radiation reaction at 3.5 post-Newtonian order in effective field theory

Chad R. Galley·Adam K. Leibovich
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Abstract

We derive the radiation reaction forces on a compact binary inspiral through 3.5 order in the post-Newtonian expansion using the effective field theory approach. We utilize a recent formulation of Hamilton's variational principle that rigorously extends the usual Lagrangian and Hamiltonian formalisms to dissipative systems, including the inspiral of a compact binary from the emission of gravitational waves. We find agreement with previous results, which thus provides a non-trivial confirmation of the extended variational principle. The results from this work nearly complete the equations of motion for the generic inspiral of a compact binary with spinning constituents through 3.5 post-Newtonian order, as derived entirely with effective field theory, with only the spin-orbit corrections to the potential at 3.5 post-Newtonian remaining.

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Chad R. Galley, Adam K. Leibovich. 2012-05-17. Radiation reaction at 3.5 post-Newtonian order in effective field theory. https://doi.org/10.1103/physrevd.86.044029

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