Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
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arXiv
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| Hauptverfasser: | , , , , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910482526371840 |
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| author | Ma, Sizheng Moxon, Jordan Scheel, Mark A. Nelli, Kyle C. Deppe, Nils Bonilla, Marceline S. Kidder, Lawrence E. Kumar, Prayush Lovelace, Geoffrey Throwe, William Vu, Nils L. |
| author_facet | Ma, Sizheng Moxon, Jordan Scheel, Mark A. Nelli, Kyle C. Deppe, Nils Bonilla, Marceline S. Kidder, Lawrence E. Kumar, Prayush Lovelace, Geoffrey Throwe, William Vu, Nils L. |
| contents | A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is implemented for physical degrees of freedom in a numerical relativity code SpECTRE. The method is free of approximations and can be applied to any physical system. We test the algorithm with various scenarios involving smooth data, including the propagation of Teukolsky waves within a flat background, the perturbation of a Kerr black hole with a Teukolsky wave, and the injection of a gravitational-wave pulse from the characteristic grid. Our investigations reveal no numerical instabilities in the simulations. In addition, the tests indicate that the CCM algorithm effectively directs characteristic information into the inner Cauchy system, yielding higher precision in waveforms and smaller violations of Bondi-gauge constraints, especially when the outer boundary of the Cauchy evolution is at a smaller radius. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_10361 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom Ma, Sizheng Moxon, Jordan Scheel, Mark A. Nelli, Kyle C. Deppe, Nils Bonilla, Marceline S. Kidder, Lawrence E. Kumar, Prayush Lovelace, Geoffrey Throwe, William Vu, Nils L. General Relativity and Quantum Cosmology A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is implemented for physical degrees of freedom in a numerical relativity code SpECTRE. The method is free of approximations and can be applied to any physical system. We test the algorithm with various scenarios involving smooth data, including the propagation of Teukolsky waves within a flat background, the perturbation of a Kerr black hole with a Teukolsky wave, and the injection of a gravitational-wave pulse from the characteristic grid. Our investigations reveal no numerical instabilities in the simulations. In addition, the tests indicate that the CCM algorithm effectively directs characteristic information into the inner Cauchy system, yielding higher precision in waveforms and smaller violations of Bondi-gauge constraints, especially when the outer boundary of the Cauchy evolution is at a smaller radius. |
| title | Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.10361 |