Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Gundlach, Carsten Baumgarte, Thomas W. Hilditch, David |
| author_facet | Gundlach, Carsten Baumgarte, Thomas W. Hilditch, David |
| contents | We present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-investigate the critical collapse of a non-spherical massless scalar field. We find that the Choptuik solution governing scalar field critical collapse in spherical symmetry persists when fine-tuning moderately non-spherical initial data to the threshold of black hole formation. The non-sphericity evolves as an almost-linear perturbation until the end of the self-similar phase, and becomes dominant only in the final collapse to a black hole. We compare with numerical results of Choptuik et al, Baumgarte, and Marouda et al, and conclude that they have been able to evolve somewhat more non-spherical solutions. Future work with larger deviations from spherical symmetry, and in particular vacuum collapse, will require a different choice of radial coordinate that allows the null generators to reconverge locally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15839 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field Gundlach, Carsten Baumgarte, Thomas W. Hilditch, David General Relativity and Quantum Cosmology We present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-investigate the critical collapse of a non-spherical massless scalar field. We find that the Choptuik solution governing scalar field critical collapse in spherical symmetry persists when fine-tuning moderately non-spherical initial data to the threshold of black hole formation. The non-sphericity evolves as an almost-linear perturbation until the end of the self-similar phase, and becomes dominant only in the final collapse to a black hole. We compare with numerical results of Choptuik et al, Baumgarte, and Marouda et al, and conclude that they have been able to evolve somewhat more non-spherical solutions. Future work with larger deviations from spherical symmetry, and in particular vacuum collapse, will require a different choice of radial coordinate that allows the null generators to reconverge locally. |
| title | Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.15839 |