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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/2404.10082 |
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| _version_ | 1866929570875179008 |
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| author | Bourg, Patrick Pound, Adam Upton, Samuel D. Macedo, Rodrigo Panosso |
| author_facet | Bourg, Patrick Pound, Adam Upton, Samuel D. Macedo, Rodrigo Panosso |
| contents | Most self-force calculations rely, in one way or another, on representations of a particle's Detweiler- Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of distance from the particle. As a demonstration, we compute the singular field to 14th order in distance, 10 orders beyond the previous state of the art, in the simple case of a scalar charge in circular orbit around a Schwarzschild black hole. We provide the result in both a 4-dimensional form and a decomposed form suitable for use in an m-mode puncture scheme. Our method should have applications in overcoming bottlenecks in current self-force calculations at both first and second order in perturbation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order Bourg, Patrick Pound, Adam Upton, Samuel D. Macedo, Rodrigo Panosso General Relativity and Quantum Cosmology Most self-force calculations rely, in one way or another, on representations of a particle's Detweiler- Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of distance from the particle. As a demonstration, we compute the singular field to 14th order in distance, 10 orders beyond the previous state of the art, in the simple case of a scalar charge in circular orbit around a Schwarzschild black hole. We provide the result in both a 4-dimensional form and a decomposed form suitable for use in an m-mode puncture scheme. Our method should have applications in overcoming bottlenecks in current self-force calculations at both first and second order in perturbation theory. |
| title | Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.10082 |