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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2405.06351 |
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| _version_ | 1866929339328626688 |
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| author | Hu, Yu Guo, Jun-Qi Li, Junbin Shao, Cheng-Gang Zhang, Hongsheng |
| author_facet | Hu, Yu Guo, Jun-Qi Li, Junbin Shao, Cheng-Gang Zhang, Hongsheng |
| contents | We study the energy issue in critical collapse of a spherically symmetric scalar field. It is found that in critical collapse, the contribution from the material energy is greater than that from the gravitational energy. The quantity $m/r$ plays an important role in identifying the formation of apparent horizon in gravitational collapse, where $m$ is the Misner-Sharp mass and $r$ the areal radius. We observe that in critical collapse, the maximum value of $m/r$ fluctuates between $2/15$ and $4/15$. This denotes a large gap between critical collapse and black hole formation for which the criterion is $m/r=1/2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06351 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy in critical collapse Hu, Yu Guo, Jun-Qi Li, Junbin Shao, Cheng-Gang Zhang, Hongsheng General Relativity and Quantum Cosmology We study the energy issue in critical collapse of a spherically symmetric scalar field. It is found that in critical collapse, the contribution from the material energy is greater than that from the gravitational energy. The quantity $m/r$ plays an important role in identifying the formation of apparent horizon in gravitational collapse, where $m$ is the Misner-Sharp mass and $r$ the areal radius. We observe that in critical collapse, the maximum value of $m/r$ fluctuates between $2/15$ and $4/15$. This denotes a large gap between critical collapse and black hole formation for which the criterion is $m/r=1/2$. |
| title | Energy in critical collapse |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.06351 |