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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.01846 |
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| _version_ | 1866917012668678144 |
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| author | Fazzini, Francesco Mehmood, Hassan |
| author_facet | Fazzini, Francesco Mehmood, Hassan |
| contents | In spherical symmetry, gravitational collapse of dust may give rise to the so-called shell-crossing singularities, beyond which spacetime can be extended using weak solutions to the integrated version of the equations of motion. We argue that the paradigm of weak solutions is ill-suited for dynamical extension beyond shell crossings through shock waves because it is based implicitly on an assumption that turns out to be unphysical for the shock and leads to the unwanted prospect of shock waves of dust particles moving faster than light. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01846 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On weak solutions in Einstein theory and beyond Fazzini, Francesco Mehmood, Hassan General Relativity and Quantum Cosmology In spherical symmetry, gravitational collapse of dust may give rise to the so-called shell-crossing singularities, beyond which spacetime can be extended using weak solutions to the integrated version of the equations of motion. We argue that the paradigm of weak solutions is ill-suited for dynamical extension beyond shell crossings through shock waves because it is based implicitly on an assumption that turns out to be unphysical for the shock and leads to the unwanted prospect of shock waves of dust particles moving faster than light. |
| title | On weak solutions in Einstein theory and beyond |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.01846 |