Scattering problems on rotating acoustic black holes

Analog curved spacetimes emerging from non relativistic consensed matter systems can be very useful to understand General Relativistic effects. Scattering problems on rotating acoustic black holes in particular can be studied in the time domain by using numerical methods only. In order to obtain high quality results in simulations, tools developed by numerical relativists in the case of rotating Kerr black holes must be adopted, i.e. constrained evolution schemes for strongly symmetric and non symmetric hyperbolic systems of PDEs and excision techniques in horizon penetrating coordinates. In this talk such a program is presented and analogies between astrophysical and acoustic black holes are discussed in relation with Press and Teukolsky's relativistic ``black hole bomb.''