Vacuum axisymmetric gravitational collapse revisited: preliminary investigation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910970233749504 |
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| author | Rostworowski, Andrzej |
| author_facet | Rostworowski, Andrzej |
| contents | Validating the results of [A.M. Abrahams and C.R. Evans, Phys. Rev. Lett. 70, 2980] poses a numerical challenge and has been inspiring a lot of research. We join these efforts and present our first steps to achieve this goal: we discuss a formulation of Einstein equations for a vacuum axisymmetric spacetime with vanishing twist in spherical-polar coordinates, its linearised approximation, and identify some problems in achieving numerically stable evolution at the threshold of a black hole formation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vacuum axisymmetric gravitational collapse revisited: preliminary investigation Rostworowski, Andrzej General Relativity and Quantum Cosmology Validating the results of [A.M. Abrahams and C.R. Evans, Phys. Rev. Lett. 70, 2980] poses a numerical challenge and has been inspiring a lot of research. We join these efforts and present our first steps to achieve this goal: we discuss a formulation of Einstein equations for a vacuum axisymmetric spacetime with vanishing twist in spherical-polar coordinates, its linearised approximation, and identify some problems in achieving numerically stable evolution at the threshold of a black hole formation. |
| title | Vacuum axisymmetric gravitational collapse revisited: preliminary investigation |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.17549 |