  Moving mirrors have been used for a long time as simple models for studying
various properties of black hole radiation, such as the thermal spectrum and
entanglement entropy. These models are typically constructed to mimic the
collapse of a spherically symmetric distribution of matter in the Minkowski
background. We generalize this correspondence to the case of non-trivial
background geometry and consider two examples, the Schwarzschild -- de Sitter
black hole and the Ba\~nados--Teitelboim--Zanelli (BTZ) black hole. In the BTZ
case we were also able to show that this approach works for the spinning black
hole which has only axial symmetry.
