Image of the time-dependent black hole
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913954987507712 |
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| author | Liang, Yu Guo, Sen Lin, Kai Cui, Yu-Hao Huang, Yu-Xiang Yu, Tao |
| author_facet | Liang, Yu Guo, Sen Lin, Kai Cui, Yu-Hao Huang, Yu-Xiang Yu, Tao |
| contents | The Event Horizon Telescope's 2024 observations report a shift in the position angle of the brightness asymmetry in M87*, revealing time variability in the black hole's image. In this analysis, we investigate the time-dependent of a Vaidya black hole. By introducing a mass function that increases linearly with time, along with a conformal transformation, we derive the conformal Vaidya metric and define a new time coordinate $t_c$. Using the semi-analytical approach, we analyze the ray trajectories and radiation flux of the Vaidya black hole in the background of a thin accretion disk. We discuss how the observed flux in the Vaidya spacetime evolves as a function of the new time coordinate $t_c$. The results show that the facula on the observable plane undergoes radial displacement as $t_c$ increases, revealing the time-dependent evolution of black hole images. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14565 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Image of the time-dependent black hole Liang, Yu Guo, Sen Lin, Kai Cui, Yu-Hao Huang, Yu-Xiang Yu, Tao General Relativity and Quantum Cosmology The Event Horizon Telescope's 2024 observations report a shift in the position angle of the brightness asymmetry in M87*, revealing time variability in the black hole's image. In this analysis, we investigate the time-dependent of a Vaidya black hole. By introducing a mass function that increases linearly with time, along with a conformal transformation, we derive the conformal Vaidya metric and define a new time coordinate $t_c$. Using the semi-analytical approach, we analyze the ray trajectories and radiation flux of the Vaidya black hole in the background of a thin accretion disk. We discuss how the observed flux in the Vaidya spacetime evolves as a function of the new time coordinate $t_c$. The results show that the facula on the observable plane undergoes radial displacement as $t_c$ increases, revealing the time-dependent evolution of black hole images. |
| title | Image of the time-dependent black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.14565 |