Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910416490201088 |
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| author | Fazzini, Francesco Husain, Viqar Wilson-Ewing, Edward |
| author_facet | Fazzini, Francesco Husain, Viqar Wilson-Ewing, Edward |
| contents | Effective models of gravitational collapse in loop quantum gravity for the Lemaître-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outwards. We show that in the marginally bound case, shell-crossing singularities commonly occur for inhomogeneous initial profiles of the dust energy density; this is the case in particular for all profiles that are continuous and of compact support, including configurations arbitrarily close to the Oppenheimer-Snyder model. When a shell-crossing singularity occurs, it is necessary to seek weak solutions to the dynamics; we argue that weak solutions typically contain shock waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02032 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity Fazzini, Francesco Husain, Viqar Wilson-Ewing, Edward General Relativity and Quantum Cosmology Effective models of gravitational collapse in loop quantum gravity for the Lemaître-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outwards. We show that in the marginally bound case, shell-crossing singularities commonly occur for inhomogeneous initial profiles of the dust energy density; this is the case in particular for all profiles that are continuous and of compact support, including configurations arbitrarily close to the Oppenheimer-Snyder model. When a shell-crossing singularity occurs, it is necessary to seek weak solutions to the dynamics; we argue that weak solutions typically contain shock waves. |
| title | Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.02032 |