Metamaterials mimic the black holes: the effects of charge and rotation on the optical properties

Motivated by investigation of black hole properties in the lab, some interesting subjects such as analogue gravity and transformation optics are generated. In this paper, we look for the analogies between the geometry of a gravitating system and the optical medium. In addition, we recognize that appropriate metamaterials can be used to mimic the propagation of light in the curved spacetimes and behave like black holes. The resemblance of metamaterials with Kerr and Reissner-Nordstr\"{o}m spacetimes is studied. At last, we compare the full-wave numerical calculation of light with its optical limit of geometry.