Shock waves in classical dust collapse
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911390753619968 |
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| author | Husain, Viqar Mehmood, Hassan |
| author_facet | Husain, Viqar Mehmood, Hassan |
| contents | During gravitational collapse of dust in spherical symmetry, matter particles may collide forming shell crossing surfaces (SCS) on which the Einstein equations become indeterministic. We show that there is a unique evolution beyond SCS such that a propagating shock wave forms, the metric remains continuous, and the stress-energy tensor dynamically becomes that of a thin shell. We give numerical simulations that exhibit this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14883 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shock waves in classical dust collapse Husain, Viqar Mehmood, Hassan General Relativity and Quantum Cosmology During gravitational collapse of dust in spherical symmetry, matter particles may collide forming shell crossing surfaces (SCS) on which the Einstein equations become indeterministic. We show that there is a unique evolution beyond SCS such that a propagating shock wave forms, the metric remains continuous, and the stress-energy tensor dynamically becomes that of a thin shell. We give numerical simulations that exhibit this result. |
| title | Shock waves in classical dust collapse |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.14883 |