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Redshift/blueshift Inside the Schwarzschild Black Hole

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Abstract

We consider an observer who moves under the horizon of the Schwarzschild black hole and absorbs a photon. There are two different situations when (i) a photon comes from infinity, (ii) it is emitted by another observer under the horizon (say, by a surface of a collapsing star). We analyze the frequency change for absorption near the event horizon, in an intermediate region and near the singularity and compare the results for both scenarios. Near the singularity, in both scenarios infinite redshift (in the pure radial case) or infinite blueshift are possible, depending on angular momenta of a photon and an observer. The main difference between both scenarios manifests itself, if photons from the star surface are emitted near the horizon and received in the intermediate region or near the singularity by the observer with a nonzero angular momentum.

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Acknowledgements

I thank Alexey Toporensky for helpful discussions. I am also grateful to the anonymous referee for constructive criticism and useful suggestions. This work is performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.

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Authors and Affiliations

  1. Department of Physics and Technology, Kharkov V. N. Karazin National University, 4 Svoboda Square, Kharkov, 61022, Ukraine

    O. B. Zaslavskii

  2. Kazan Federal University, Kremlevskaya 18, Kazan, Russia, 420008

    O. B. Zaslavskii

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  1. O. B. Zaslavskii
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Correspondence to O. B. Zaslavskii.

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Zaslavskii, O.B. Redshift/blueshift Inside the Schwarzschild Black Hole. Gen Relativ Gravit 52, 37 (2020). https://doi.org/10.1007/s10714-020-02688-w

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