Non-linearity of Vaidya spacetime and forces in the central naked singularity
The paper focuses on non-linear Vaidya spacetime, i. e., cases when the mass function has a non-linear form M(v) ≡ λvn , λ > 0, n > 1. We prove that the central naked singularity might form for values n > 1, however, under such conditions it will be gravitationally weak. The paper also dis...
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| Format: | Article |
| Language: | English |
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Herzen State Pedagogical University of Russia
2022-06-01
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| Series: | Physics of Complex Systems |
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| Online Access: | https://physcomsys.ru/index.php/physcomsys/article/view/84 |
| _version_ | 1811226794520477696 |
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| author | Виталий Дмитриевич Вертоградов |
| author_facet | Виталий Дмитриевич Вертоградов |
| author_sort | Виталий Дмитриевич Вертоградов |
| collection | DOAJ |
| description |
The paper focuses on non-linear Vaidya spacetime, i. e., cases when the mass function has a non-linear form M(v) ≡ λvn , λ > 0, n > 1. We prove that the central naked singularity might form for values n > 1, however, under such conditions it will be gravitationally weak. The paper also disucsses forces in the naked singularity and proves that they might be finite only in the case of the gravitationally weak naked singularity. It also focuses on the strength of the singularity. We prove that the strong naked singularity might form only in the linear case. The singularity might also be gravitationally strong in the case of black hole formation.
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| first_indexed | 2024-04-12T09:31:14Z |
| format | Article |
| id | doaj.art-4759c6a121f94c499cfd5b48a0d34cf7 |
| institution | Directory Open Access Journal |
| issn | 2687-153X |
| language | English |
| last_indexed | 2024-04-12T09:31:14Z |
| publishDate | 2022-06-01 |
| publisher | Herzen State Pedagogical University of Russia |
| record_format | Article |
| series | Physics of Complex Systems |
| spelling | doaj.art-4759c6a121f94c499cfd5b48a0d34cf72022-12-22T03:38:21ZengHerzen State Pedagogical University of RussiaPhysics of Complex Systems2687-153X2022-06-013210.33910/2687-153X-2022-3-2-81-85Non-linearity of Vaidya spacetime and forces in the central naked singularityВиталий Дмитриевич Вертоградов 0Herzen State Pedagogical University of Russia; The Special Astrophysical Observatory of the Russian Academy of Sciences The paper focuses on non-linear Vaidya spacetime, i. e., cases when the mass function has a non-linear form M(v) ≡ λvn , λ > 0, n > 1. We prove that the central naked singularity might form for values n > 1, however, under such conditions it will be gravitationally weak. The paper also disucsses forces in the naked singularity and proves that they might be finite only in the case of the gravitationally weak naked singularity. It also focuses on the strength of the singularity. We prove that the strong naked singularity might form only in the linear case. The singularity might also be gravitationally strong in the case of black hole formation. https://physcomsys.ru/index.php/physcomsys/article/view/84Vaidya spacetimenaked singularitystrength of singularityinertial forcesgeodesicsgravitational collapse |
| spellingShingle | Виталий Дмитриевич Вертоградов Non-linearity of Vaidya spacetime and forces in the central naked singularity Physics of Complex Systems Vaidya spacetime naked singularity strength of singularity inertial forces geodesics gravitational collapse |
| title | Non-linearity of Vaidya spacetime and forces in the central naked singularity |
| title_full | Non-linearity of Vaidya spacetime and forces in the central naked singularity |
| title_fullStr | Non-linearity of Vaidya spacetime and forces in the central naked singularity |
| title_full_unstemmed | Non-linearity of Vaidya spacetime and forces in the central naked singularity |
| title_short | Non-linearity of Vaidya spacetime and forces in the central naked singularity |
| title_sort | non linearity of vaidya spacetime and forces in the central naked singularity |
| topic | Vaidya spacetime naked singularity strength of singularity inertial forces geodesics gravitational collapse |
| url | https://physcomsys.ru/index.php/physcomsys/article/view/84 |
| work_keys_str_mv | AT vitalijdmitrievičvertogradov nonlinearityofvaidyaspacetimeandforcesinthecentralnakedsingularity |