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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.12634 |
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| _version_ | 1866929570861547520 |
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| author | Bourg, Patrick Leather, Benjamin Casals, Marc Pound, Adam Wardell, Barry |
| author_facet | Bourg, Patrick Leather, Benjamin Casals, Marc Pound, Adam Wardell, Barry |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations Bourg, Patrick Leather, Benjamin Casals, Marc Pound, Adam Wardell, Barry General Relativity and Quantum Cosmology 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. |
| title | Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.12634 |