Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations

Abstract

Post-adiabatic models of extreme- and intermediate-mass-ratio inspirals will require calculations
of second-order gravitational self-force effects in the spacetime of a spinning, Kerr black hole. We
take a step toward such calculations by implementing the recently formulated Teukolsky puncture scheme with Green-Hollands-Zimmerman metric reconstruction [CQG 39, 015019 (2022)]. This scheme eliminates the critical obstacle of gauge singularities that arise in the standard “no-string” metric reconstruction. Our first proof-of-principle implementation is limited to the simple case of circular orbits in Schwarzschild spacetime, but the method also applies to generic orbits on a Kerr background. We conclude with a discussion of various approaches to the second-order self-force problem in Kerr

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ORCID for Adam Pound: orcid.org/0000-0001-9446-0638

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