Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913267664814080 |
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| author | Escobar-Diaz, Leon Bran, Paula |
| author_facet | Escobar-Diaz, Leon Bran, Paula |
| contents | In this work, we introduce a spectral-infinite element method for solving Einstein's constraint equations in hyperbolic form. As an application of this, we use this method for computing asymptotically flat perturbations of a Kerr black hole with small angular momentum. Our numerical infrastructure is based on the use of a spin-weighted spherical harmonic transform combined with an infinite element method for solving partial differential equations in unbounded domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08867 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity Escobar-Diaz, Leon Bran, Paula General Relativity and Quantum Cosmology In this work, we introduce a spectral-infinite element method for solving Einstein's constraint equations in hyperbolic form. As an application of this, we use this method for computing asymptotically flat perturbations of a Kerr black hole with small angular momentum. Our numerical infrastructure is based on the use of a spin-weighted spherical harmonic transform combined with an infinite element method for solving partial differential equations in unbounded domains. |
| title | Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2307.08867 |