Self-force calculations with a spinning secondary

Mathews, Josh, Pound, Adam and Wardell, Barry (2022) Self-force calculations with a spinning secondary. Physical Review D, 105 (8), [084031]. (doi:10.1103/PhysRevD.105.084031).

Record type: Article

Abstract

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specializing to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field equations, with an attendant waveform-generation framework, that includes all effects through first postadiabatic order, and we use the Regge-Wheeler-Zerilli formalism in the frequency domain to generate waveforms that include the complete effect of the spin on the waveform phase. We perform the calculations using expansions at fixed orbital frequency, increasing the computational efficiency, and simplifying the procedure compared to previous approaches. Finally, we provide the first fully relativistic, first-principles regularization procedure for gauge invariant self-force quantities to linear order in spin. We use this procedure to produce the first strong-field, conservative self-force calculation including the spin of the secondary - computing Detweiler's redshift invariant.

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SpinningSecondary - Accepted Manuscript

Available under License University of Southampton Accepted Manuscript Licence.

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