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Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects

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arxiv 1705.07938 v2 pith:Z4W6IJ23 submitted 2017-05-22 gr-qc astro-ph.COhep-th

Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects

classification gr-qc astro-ph.COhep-th
keywords effectsspinorderspin-spincontributionseffectiveevolutionfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the leading Post-Newtonian (PN) contributions at quadratic order in the spins to the radiation-reaction acceleration and spin evolution for binary systems, entering at four-and-a-half PN order. Our calculation includes the back-reaction from finite-size spin effects, which is presented for the first time. The computation is carried out, from first principles, using the effective field theory framework for spinning extended objects. At this order, nonconservative effects in the spin-spin sector are independent of the spin supplementary conditions. A non-trivial consistency check is performed by showing that the energy loss induced by the resulting radiation-reaction force is equivalent to the total emitted power in the far zone. We find that, in contrast to the spin-orbit contributions (reported in a companion paper), the radiation reaction affects the evolution of the spin vectors once spin-spin effects are incorporated.

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