Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. III: Spin-orbit coupling revisited

Abstract

The first- and second-order dissipative self force and the first order conservative self force are applied together with spin-orbit coupling to the quasi-circular motion of a test mass in the spacetime of a Schwarzschild black hole, for extreme or intermediate mass ratios. The partial dephasing of the gravitational waveform (at the order that is independent of the system's mass ratio) due to the self force is compared with that of spin-orbit coupling. We find that accurate waveforms for parameter estimation need to include both effects. Specifically, we find a particular value for the spin parameter such that the spin-orbit effect cancels out the self-force effect on the waveform. Exclusion of dephasing effects that are independent of the mass ratio therefore might lead to a non-perturbative error in the estimation of the system's parameters.

5 pages, 9 figures. In Version 2 references were added, and some sentences were re-worded. No substantial changes though

References in corpus (5)

• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
• Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
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Cited by in corpus (2)

• Evolution of small-mass-ratio binaries with a spinning secondary
• Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole