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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.17993 |
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| _version_ | 1866917621336637440 |
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| author | Martinez-Valera, Diego A. Momennia, Mehrab Herrera-Aguilar, Alfredo |
| author_facet | Martinez-Valera, Diego A. Momennia, Mehrab Herrera-Aguilar, Alfredo |
| contents | In this work, we obtain an expression for the total observational frequency shift of photons emitted by massive geodesic particles circularly orbiting a black hole in a general spherically symmetric background. Our general relations are presented in terms of the metric components and their derivatives that characterize the black hole parameters. As a concrete example of this general relativistic approach, a special case is studied by applying the formalism to a nonsingular black hole conformally related to the Schwarzchild solution that possesses a length scale parameter $l$ and an integer parameter $N$ in addition to the black hole mass. Besides, we express the nonsingular black hole mass in terms of the observational redshift/blueshift. Finally, we investigate the effects of the free parameters of the conformal gravity theory on the observational frequency shift and compare results with those of the standard Schwarzschild black hole. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17993 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Observational redshift from general spherically symmetric black holes Martinez-Valera, Diego A. Momennia, Mehrab Herrera-Aguilar, Alfredo General Relativity and Quantum Cosmology In this work, we obtain an expression for the total observational frequency shift of photons emitted by massive geodesic particles circularly orbiting a black hole in a general spherically symmetric background. Our general relations are presented in terms of the metric components and their derivatives that characterize the black hole parameters. As a concrete example of this general relativistic approach, a special case is studied by applying the formalism to a nonsingular black hole conformally related to the Schwarzchild solution that possesses a length scale parameter $l$ and an integer parameter $N$ in addition to the black hole mass. Besides, we express the nonsingular black hole mass in terms of the observational redshift/blueshift. Finally, we investigate the effects of the free parameters of the conformal gravity theory on the observational frequency shift and compare results with those of the standard Schwarzschild black hole. |
| title | Observational redshift from general spherically symmetric black holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2311.17993 |