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Shadow of rotating regular black holes

Ahmadjon AbdujabbarovUlugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, UzbekistanM. Jamil AmirCentre for Theoretical Physics, Jamia Millia Islamia, New Delhi 110025, IndiaBobomurat AhmedovUlugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, UzbekistanSushant G. GhoshCentre for Theoretical Physics, Jamia Millia Islamia, New Delhi 110025, India
ABI

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We study the shadows cast by the different types of rotating regular black holes viz. Ay\'on-Beato-Garc\'{\i}a (ABG), Hayward, and Bardeen. These black holes have in addition to the total mass ($M$) and rotation parameter ($a$), different parameters as electric charge ($Q$), deviation parameter ($g$), and magnetic charge (${g}_{*}$). Interestingly, the size of the shadow is affected by these parameters in addition to the rotation parameter. We found that the radius of the shadow in each case decreases monotonically, and the distortion parameter increases when the values of these parameters increase. A comparison with the standard Kerr case is also investigated. We have also studied the influence of the plasma environment around regular black holes to discuss its shadow. The presence of the plasma affects the apparent size of the regular black hole's shadow to be increased due to two effects: (i) gravitational redshift of the photons and (ii) radial dependence of plasma density.

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