The shadow of regular black holes with asymptotically Minkowski core

Abstract: We investigate the shadow cast by a sort of new regular black holes which are characterized by an asymptotically Minkowski core and the Sub-Planckian curvature. Firstly, we extend the metric with spherical symmetry to the one of rotating Kerr-like black holes and derive the null geodesics with circular orbit near the horizon of the black hole, and then plot the shadow of black holes with different values of the deviation parameter. It is found that the size of the shadow shrinks with the increase of the deviation parameter, while the shape of the shadow becomes more deformed. In particular, by comparing with the shadow of Bardeen black hole and Hayward black hole with the same values of parameters, we find that in general the shadow of black holes with Minkowski core has a larger deformation than that with de Sitter core, which potentially provides a strategy to distinguish these two sorts of regular black holes with different cores by astronomical observation in future.