Vectorial and Spinorial Perturbations in Galileon Black Holes: Quasinormal modes, Quasi-Resonant modes and Instabilities

In this work we have considered a model that includes the interaction of gravity and matter fields with galilean invariance (the so-called derivative coupling) as well as some corresponding black hole type solutions. Quasinormal perturbations of two kinds of matter fields have been computed by different methods. The effect of the derivative coupling in the quasinormal spectrum has been analyzed and evaluated.