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Modeling horizon absorption in spinning binary black holes using effective worldline theory

M. V. S. SakethJan SteinhoffJustin VinesAlessandra Buonanno
Dec 2022
摘要
The mass and spin of black holes (BHs) in binary systems may change due tothe infall of gravitational-wave (GW) energy down the horizons. For spinningBHs, this effect enters at 2.5 post-Newtonian (PN) order relative to theleading-order energy flux at infinity. There is currently a discrepancy in theliterature in the expressions of these horizon fluxes in the test-body limit at4PN order (relative 1.5PN order). Here, we model the horizon absorption astidal heating in an effective worldline theory of a spinning particle equippedwith tidally-induced quadrupole and octupole moments. We match the tidalresponse to analytic solutions of the Teukolsky equation in a scatteringscenario, and obtain general formulae for the evolution of mass and spin. Wethen specialize to the case of aligned-spin--quasi-circular binaries, obtainingthe corresponding contributions to the GW phasing through 4PN order.Importantly, we find that the number of GW cycles due to horizon fluxes withmasses observed by LIGO-Virgo-KAGRA detectors is about 2-3 orders of magnitudesmaller than the other contributions to the phasing at the same PN order.Furthermore, in the test-body limit, we find full agreement with resultsobtained earlier from BH perturbation theory, with a small mass in anequatorial circular orbit treated as a source perturbing the Kerr metric. Thus,we weigh in on one side of the previous discrepancy.
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