The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole
We consider the gravitational collapse of a homogeneous pressureless ellipsoid. We have shown that the minimal size <i>r</i> that the ellipsoid can reach during collapse depends on its initial eccentricity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"...
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| author | Aisen G. Nikiforov Anton N. Baushev Maxim V. Barkov |
| author_facet | Aisen G. Nikiforov Anton N. Baushev Maxim V. Barkov |
| author_sort | Aisen G. Nikiforov |
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| description | We consider the gravitational collapse of a homogeneous pressureless ellipsoid. We have shown that the minimal size <i>r</i> that the ellipsoid can reach during collapse depends on its initial eccentricity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>e</mi><mn>0</mn></msub></semantics></math></inline-formula> as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∝</mo><msubsup><mi>e</mi><mn>0</mn><mi>ν</mi></msubsup></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>≈</mo><mn>15</mn><mo>/</mo><mn>8</mn></mrow></semantics></math></inline-formula>, 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. Our consideration is purely Newtonian, but we present a discussion suggesting that the results obtained within the framework of general relativity are unlikely to be significantly different. |
| format | Article |
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| institution | DOAJ |
| issn | 2218-1997 |
| language | English |
| publishDate | 2025-03-01 |
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| spelling | doaj-art-343d5821db49403084e8b7fff91bab1f2025-08-20T02:43:10ZengMDPI AGUniverse2218-19972025-03-011139510.3390/universe11030095The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black HoleAisen G. Nikiforov0Anton N. Baushev1Maxim V. Barkov2Institute of Astronomy, Russian Academy of Sciences, 119017 Moscow, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, RussiaInstitute of Astronomy, Russian Academy of Sciences, 119017 Moscow, RussiaWe consider the gravitational collapse of a homogeneous pressureless ellipsoid. We have shown that the minimal size <i>r</i> that the ellipsoid can reach during collapse depends on its initial eccentricity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>e</mi><mn>0</mn></msub></semantics></math></inline-formula> as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∝</mo><msubsup><mi>e</mi><mn>0</mn><mi>ν</mi></msubsup></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>≈</mo><mn>15</mn><mo>/</mo><mn>8</mn></mrow></semantics></math></inline-formula>, 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. Our consideration is purely Newtonian, but we present a discussion suggesting that the results obtained within the framework of general relativity are unlikely to be significantly different.https://www.mdpi.com/2218-1997/11/3/95cosmologylarge-scale structure of the universecold dark matterprimordial black holes |
| spellingShingle | Aisen G. Nikiforov Anton N. Baushev Maxim V. Barkov The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole Universe cosmology large-scale structure of the universe cold dark matter primordial black holes |
| title | The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole |
| title_full | The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole |
| title_fullStr | The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole |
| title_full_unstemmed | The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole |
| title_short | The Impact of the Eccentricity on the Collapse of an Ellipsoid into a Black Hole |
| title_sort | impact of the eccentricity on the collapse of an ellipsoid into a black hole |
| topic | cosmology large-scale structure of the universe cold dark matter primordial black holes |
| url | https://www.mdpi.com/2218-1997/11/3/95 |
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