Photon surfaces extensions for dynamical gravitational collapse
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908867601891328 |
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| author | Giambò, Roberto Lucamarini, Camilla |
| author_facet | Giambò, Roberto Lucamarini, Camilla |
| contents | The equations for the photon surface in spherical symmetry are worked out, starting from arXiv:gr-qc/0005050, in the most general dynamical setting. We show that the condition for a timelike hypersurface to be a photon surface can be reformulated as a non-autonomous dynamical system, whose analysis reveals that the same condition also holds when the surface is generated by a null radial geodesic.
As an application, we consider a well-known model of a spherical dust cloud undergoing gravitational collapse. Comparing our findings with those in arXiv:1910.13758 we establish that the photon surface uniquely extends in the interior spacetime as a null hypersurface, allowing us to analytically investigate whether it covers the singularity developing in the LTB model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Photon surfaces extensions for dynamical gravitational collapse Giambò, Roberto Lucamarini, Camilla General Relativity and Quantum Cosmology The equations for the photon surface in spherical symmetry are worked out, starting from arXiv:gr-qc/0005050, in the most general dynamical setting. We show that the condition for a timelike hypersurface to be a photon surface can be reformulated as a non-autonomous dynamical system, whose analysis reveals that the same condition also holds when the surface is generated by a null radial geodesic. As an application, we consider a well-known model of a spherical dust cloud undergoing gravitational collapse. Comparing our findings with those in arXiv:1910.13758 we establish that the photon surface uniquely extends in the interior spacetime as a null hypersurface, allowing us to analytically investigate whether it covers the singularity developing in the LTB model. |
| title | Photon surfaces extensions for dynamical gravitational collapse |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.01368 |