The impact of the eccentricity on the collapse of an ellipsoid into a black hole
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| Format: | Preprint |
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2024
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| _version_ | 1866918173991763968 |
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| author | Nikiforov, A. G. Baushev, A. N. Barkov, M. V. |
| author_facet | Nikiforov, A. G. Baushev, A. N. Barkov, M. V. |
| contents | We consider the gravitational collapse of a homogeneous pressureless ellipsoid. We have shown that the minimal size $r$ that the ellipsoid can reach during collapse depends on its initial eccentricity $e_0$ as $r\propto e_0^ν$, where $ν\approx 15/8$, and this dependence is very universal. We have estimated the parameters (in particular, the initial eccentricity) of a homogeneous pressureless ellipsoid, whereat it collapses directly into a black hole. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_14358 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The impact of the eccentricity on the collapse of an ellipsoid into a black hole Nikiforov, A. G. Baushev, A. N. Barkov, M. V. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena We consider the gravitational collapse of a homogeneous pressureless ellipsoid. We have shown that the minimal size $r$ that the ellipsoid can reach during collapse depends on its initial eccentricity $e_0$ as $r\propto e_0^ν$, where $ν\approx 15/8$, and this dependence is very universal. We have estimated the parameters (in particular, the initial eccentricity) of a homogeneous pressureless ellipsoid, whereat it collapses directly into a black hole. |
| title | The impact of the eccentricity on the collapse of an ellipsoid into a black hole |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2412.14358 |