Gravitational perturbations in a Horndeski hairy black hole spacetimes
In this paper,we investigate the gravitational quasi-normal modes(QNMs)of Horndeski hairy black holes.By using the ordinary finite element method,the relations between the QNMs and the parameters of black holes are minutely shown.Both the oscillating frequency and the decay rate increase with the increase of the scalar charge Q.While the oscillating frequency and the decay rate decrease with the black hole mass M increasing.And the quasi-period of the oscillation decreases when the angular momentum l of the perturbation field increases.However,the decay rate has barely changed for different values of l.Thus,the numerical results indicate that Horndeski black holes are stable.
Horndeski hairy black holesquasi-normal modes(QNMs)the ordinary finite element method