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Electromagnetic Field of a Charged Particle, Asymptotically Approaching Schwarzschild Black Hole

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Abstract

The problem of calculating the electromagnetic field of a charged test particle moving in the field of a Schwarzschild black hole is considered. In the framework of the non-stationary problem, it is shown that the electromagnetic field produced by the particle moving along the radial geodesic tends to spherical symmetry as the particle approaches the event horizon.

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Fig. 1.

Notes

  1. We use a system of units where c = 1.

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ACKNOWLEDGMENTS

GV and SK would like to express their gratitude to prof. Vladimir Belinski for numerous discussions on this topic.

Funding

The work was supported by BRFFR Foundation in the framework of the F23ICR-003 BRFFR-ICRANet project.

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Correspondence to S. O. Komarov.

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Paper presented at the Fifth Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Yerevan, Armenia on June 12–16, 2023. Published by the recommendation of the special editors: R. Ruffini, N. Sahakyan and G.V. Vereshchagin.

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Komarov, S.O., Gorbatsievich, A.K., Vereshchagin, G.V. et al. Electromagnetic Field of a Charged Particle, Asymptotically Approaching Schwarzschild Black Hole. Astron. Rep. 67 (Suppl 2), S175–S178 (2023). https://doi.org/10.1134/S1063772923140111

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