The unstable null circular geodesic features the spherically symmetrical asymptotically flat black hole
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909178377797632 |
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| author | Shi, Yuxuan |
| author_facet | Shi, Yuxuan |
| contents | We analyse the massless particles orbiting a spherically symmetric, asymptotically flat black hole with a radius equal to the photon sphere and a circular geodesic. Asymptotic observers record the orbital period of the null circular geodesic as the lowest among all possible paths around the compact object. We proceed with the analytical study of massless particle motion to demonstrate the instability of an orbit with null circularity. Furthermore, our results apply to any asymptotically flat and spherically symmetric spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14764 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The unstable null circular geodesic features the spherically symmetrical asymptotically flat black hole Shi, Yuxuan General Relativity and Quantum Cosmology Astrophysics of Galaxies We analyse the massless particles orbiting a spherically symmetric, asymptotically flat black hole with a radius equal to the photon sphere and a circular geodesic. Asymptotic observers record the orbital period of the null circular geodesic as the lowest among all possible paths around the compact object. We proceed with the analytical study of massless particle motion to demonstrate the instability of an orbit with null circularity. Furthermore, our results apply to any asymptotically flat and spherically symmetric spacetime. |
| title | The unstable null circular geodesic features the spherically symmetrical asymptotically flat black hole |
| topic | General Relativity and Quantum Cosmology Astrophysics of Galaxies |
| url | https://arxiv.org/abs/2404.14764 |