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The recent reported gravitational wave detection motivates one to investigatethe properties of different black hole models, especially their behavior under(axial) gravitational perturbation. Here, we study the quasinormal modes ofblack holes in Weyl gravity. We derive the master equation describing thequasinormal radiation by using a relation between the Schwarzschild-anti deSitter black holes and Weyl solutions, and also the conformal invarianceproperty of the Weyl action. It will be observed that the quasinormal modespectra of the Weyl solutions deviate from those of the Schwarzschild blackhole due to the presence of an additional linear $r$-term in the metricfunction. We also consider the evolution of the Maxwell field on the backgroundspacetime and obtain the master equation of electromagnetic perturbations.Then, we use the WKB approximation and asymptotic iteration method to calculatethe quasinormal frequencies. Finally, the time evolution of modes is studiedthrough the time-domain integration of the master equation.

Quasinormal modes of black holes in Weyl gravity: Electromagnetic and gravitational perturbations