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Asymptotic gravitational-wave fluxes from a spinning test body on generic orbits around a Kerr black hole

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arxiv 2303.16798 v1 pith:DAKCSBAV submitted 2023-03-29 gr-qc

Viktor Skoupý , Georgios Lukes-Gerakopoulos , Lisa V. Drummond , Scott A. Hughes This is my paper · ORCID
classification gr-qc
keywords orbitsangularfluxesmomentumspinspinningasymptoticbody
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This work provides gravitational wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in a Kerr spacetime up to linear in spin approximation. To achieve this, we have developed a new frequency domain Teukolsky equation solver that calculates asymptotic amplitudes from generic orbits of spinning bodies with their spin aligned with the total orbital angular momentum. However, the energy and angular momentum fluxes from these orbits in the linear in spin approximation are appropriate for adiabatic models of extreme mass ratio inspirals even for spins non-aligned to the orbital angular momentum. To check the newly obtained fluxes, they were compared with already known frequency domain results for equatorial orbits and with results from a time domain Teukolsky equation solver called Teukode for off-equatorial orbits. The spinning body framework of our work is based on the Mathisson-Papapetrou-Dixon equations under the Tulczyjew-Dixon spin supplementary condition.

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Cited by 3 Pith papers

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  1. Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework

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  2. Secondary spins of extreme mass ratio inspirals: A probe to the formation channels

    astro-ph.HE 2025-02 conditional novelty 7.0 of 10

    For eccentric and inclined extreme mass-ratio inspirals, the secondary black hole spin may be measurable to about 0.1 at SNR 20, and high spins would point to the Hills formation channel.

  3. Secular evolution of orbital parameters for general bound orbits in Kerr spacetime

    gr-qc 2026-03 conditional novelty 6.0 of 10

    Analytic formulas for the orbit-averaged gravitational-wave fluxes of energy, angular momentum, and Carter constant for generic bound Kerr orbits are extended to 6PN order and O(e^16) in eccentricity, with numerical T...

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