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Shadow of the Kerr-like black hole

Furkat SarikulovUlugh Beg Astronomical Institute, Astronomy Street 33, Tashkent, 100052, UzbekistanFarruh AtamurotovAkfa University, Milliy Bog’ Street 264, Tashkent, 111221, UzbekistanAhmadjon AbdujabbarovInstitute of Nuclear Physics, Ulugbek Street, Tashkent, 100214, UzbekistanBobomurat AhmedovInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
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Abstract

Abstract The detailed study of horizon structure and the shadow cast by a Kerr-like black hole (BH) is performed. The trajectory of light rays forming the shadow of BH is found using the solutions of geodesic equation for the motion and effective potential of a photon around Kerr-like BH for different values of deviation parameter l in Kerr-like spcetime metric. It is observed that with an increase in the parameter l the size of the shadow of the BH is decreased. Additional, we have consider effect of plasma on BH shadow and the plasma influence on the shadow of Kerr-like BH, the size of observable radius of BH shadow and oblateness are explored with more details.

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