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Specific Features of the Angular Distribution of Electromagnetic Radiation of the Kerr Black Hole

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By analyzing algebraically special solutions of the Maxwell equations in the Kerr space-time, we obtain the exact expressions for the polarization characteristics of electromagnetic waves emitted from the vicinity of a black hole. We revealed the asymmetry of dependence of the ellipticity angle on the polar angle for the fundamental mode and the first harmonics of polarized radiation. This creates a basis for the new method of evaluation of the intrinsic angular momentum of the Kerr black hole. It is shown that the existence of singular points of the solution in a local orthonormal frame is a consequence of the Poincaré–Brouwer theorem.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    V. O. Pelykh & Yu. V. Taistra

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  1. V. O. Pelykh
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  2. Yu. V. Taistra
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Correspondence to Yu. V. Taistra.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 2, pp. 51–58, April–June, 2020.

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Pelykh, V.O., Taistra, Y.V. Specific Features of the Angular Distribution of Electromagnetic Radiation of the Kerr Black Hole. J Math Sci 272, 55–63 (2023). https://doi.org/10.1007/s10958-023-06399-w

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  • DOI: https://doi.org/10.1007/s10958-023-06399-w

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