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Journal Article

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

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Leather,  Benjamin
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bourg, P., Leather, B., Casals, M., Pound, A., & Wardell, B. (2024). Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations. Physical Review D, 110(4): 044007.


Cite as: https://hdl.handle.net/21.11116/0000-000F-BAAF-B
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.