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arXiv · 2403.12634

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

Patrick Bourg·Benjamin Leather·Marc Casals·Adam Pound·Barry Wardell
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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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Patrick Bourg, Benjamin Leather, Marc Casals, Adam Pound, Barry Wardell. 2024-03-19. Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations. https://doi.org/10.1103/physrevd.110.044007

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