On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866913686774349824 |
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| author | Ortiz, Néstor Sarbach, Olivier Zannias, Thomas |
| author_facet | Ortiz, Néstor Sarbach, Olivier Zannias, Thomas |
| contents | Motivated by recent work on the structure of the singularity in inhomogeneous Tolman-Bondi collapse models, we investigate the behaviour of null geodesics in the particular case where the collapse is self-similar. The presence of the homothetic Killing vector field implies that the geodesic equation can be described by an integrable Hamiltonian system, and exploiting this fact we provide a full qualitative picture for its phase flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1503_08344 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse Ortiz, Néstor Sarbach, Olivier Zannias, Thomas General Relativity and Quantum Cosmology Motivated by recent work on the structure of the singularity in inhomogeneous Tolman-Bondi collapse models, we investigate the behaviour of null geodesics in the particular case where the collapse is self-similar. The presence of the homothetic Killing vector field implies that the geodesic equation can be described by an integrable Hamiltonian system, and exploiting this fact we provide a full qualitative picture for its phase flow. |
| title | On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1503.08344 |