Analytic models for gravitational collapse
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916494075494400 |
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| author | Aoki, Sinya Ovalle, Jorge |
| author_facet | Aoki, Sinya Ovalle, Jorge |
| contents | We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy some energy conditions at all times as long as the collapse is slower than some limit. While a singularity of the Schwarzschild black hole at the origin ($R_{μναβ}R^{μναβ}\sim r^{-6}$) forms immediately after the start of the collapse in one model, such a singularity never appear at finite time during the collapse (except $t\to\infty$) in the other model. The scheme used shows great potential for studying in detail the appearance of singularities in general relativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic models for gravitational collapse Aoki, Sinya Ovalle, Jorge General Relativity and Quantum Cosmology High Energy Physics - Theory We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy some energy conditions at all times as long as the collapse is slower than some limit. While a singularity of the Schwarzschild black hole at the origin ($R_{μναβ}R^{μναβ}\sim r^{-6}$) forms immediately after the start of the collapse in one model, such a singularity never appear at finite time during the collapse (except $t\to\infty$) in the other model. The scheme used shows great potential for studying in detail the appearance of singularities in general relativity. |
| title | Analytic models for gravitational collapse |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.15868 |