The Black Hole Formation -- Null Geodesic Correspondence
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916336583573504 |
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| author | Ianniccari, Andrea Iovino, Antonio J. Kehagias, Alex Perrone, Davide Riotto, Antonio |
| author_facet | Ianniccari, Andrea Iovino, Antonio J. Kehagias, Alex Perrone, Davide Riotto, Antonio |
| contents | We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a black hole in radiation is well approximated by the critical threshold for the appearance of the first unstable circular orbit in a spherically symmetric background. We also show that the critical exponent in the scaling law of the primordial black hole mass close to the threshold is set by the inverse of the Lyapunov coefficient of the unstable orbits when a self-similar stage is developed close to criticality. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_02801 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Black Hole Formation -- Null Geodesic Correspondence Ianniccari, Andrea Iovino, Antonio J. Kehagias, Alex Perrone, Davide Riotto, Antonio Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a black hole in radiation is well approximated by the critical threshold for the appearance of the first unstable circular orbit in a spherically symmetric background. We also show that the critical exponent in the scaling law of the primordial black hole mass close to the threshold is set by the inverse of the Lyapunov coefficient of the unstable orbits when a self-similar stage is developed close to criticality. |
| title | The Black Hole Formation -- Null Geodesic Correspondence |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.02801 |