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Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion

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arxiv 2004.02654 v2 pith:G5SU7RP4 submitted 2020-04-06 gr-qc astro-ph.HEhep-ph

Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion

classification gr-qc astro-ph.HEhep-ph
keywords secondarycirculardetectableequatorialextremegravitational-waveinspiralsresults
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Extreme mass-ratio inspirals detectable by the future Laser Interferometer Space Antenna provide a unique way to test general relativity and fundamental physics. Motivated by this possibility, here we study in detail the EMRI dynamics in the presence of a spinning secondary, collecting and extending various results that appeared in previous work and also providing useful intermediate steps and new relations for the first time. We present the results of a frequency-domain code that computes gravitational-wave fluxes and the adiabatic orbital evolution for the case of circular, equatorial orbits with (anti)aligned spins. The spin of the secondary starts affecting the gravitational-wave phase at the same post-adiabatic order as the leading-order self-force terms and introduces a detectable dephasing, which can be used to measure it at $5-25\%$ level, depending on individual spins. In a companion paper we discuss the implication of this effect for tests of the Kerr bound.

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    Calculates energy fluxes with quadratic-in-spin and quadrupole effects for small-mass-ratio spinning binaries in self-force theory, providing numerical data and sixth-order PN expansions.