标题： 旋转正则黑洞的阴影 显示英文标题

标题： Shadow of rotating regular black holes

摘要： 我们研究了由不同类型的旋转正则黑洞投射的阴影，即 Ayón-Beato-García 的{(ABG)}、Hayward 和 Bardeen 模型。 这些黑洞除了具有总质量（$M$）和旋转参数（$a$）外，还分别具有不同的参数，如电荷（$Q$）、偏差参数（$g$）和磁荷（$g_{*}$）。 有趣的是，除了旋转参数外，这些参数也会影响阴影的大小。 我们发现，在每种情况下，阴影的半径单调减小，而扭曲参数随着这些参数值的增加而增大。 我们也研究了与标准 Kerr 情况的比较。 此外，我们还研究了正则黑洞周围等离子体环境的影响，以讨论其阴影。 等离子体的存在由于两个效应（i）光子的引力红移和（ii）等离子体密度的径向依赖性，导致正则黑洞阴影的表观尺寸增加。 显示英文摘要

摘要： We study the shadows cast by the different types of rotating regular black holes viz. Ay\'on-Beato-Garc\'ia {(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 ($g_{*}$), respectively. 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 value 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.