http://arxiv.org/abs/2004.02654
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 to next-to-leading order in the mass ratio (being thus comparable to the leading-order conservative part and to the second-order dissipative part of the self-force) 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.
G. Piovano, A. Maselli and P. Pani
Tue, 7 Apr 20
49/72
Comments: 14+12 pages, 6 figures. Longer companion paper of arXiv:2003.08448. Data available at this https URL