https://doi.org/10.1140/epjc/s10052-024-12649-1
Regular Article - Theoretical Physics
Observational redshift from general spherically symmetric black holes
1
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Ciudad Universitaria, CP 72570, Puebla, Puebla, Mexico
2
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Puebla, Mexico
3
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, CP 58040, Morelia, Michoacán, Mexico
a mmomennia@ifuap.buap.mx, momennia1988@gmail.com
Received:
2
December
2023
Accepted:
7
March
2024
Published online:
20
March
2024
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.
An addendum to this article is available online at https://doi.org/10.1140/epjc/s10052-025-14114-z.
© The Author(s) 2024
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