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Black holes are found to exist in gravitational theories with the presence ofquadratic curvature terms and behave differently from the Schwarzschildsolution. We present an exhaustive analysis for determining the quasinormalmodes of a test scalar field propagating in a new class of black holebackgrounds in the case of pure Einstein-Weyl gravity. Our result shows thatthe field decay of quasinormal modes in such a non-Schwarzschild black holebehaves similarly to the Schwarzschild one, but the decay slope becomes muchsmoother due to the appearance of the Weyl tensor square in the backgroundtheory. We also analyze the frequencies of the quasinormal modes in order tocharacterize the properties of new back holes, and thus, if these modes can bethe source of gravitational waves, the underlying theories may be testable infuture gravitational wave experiments. We briefly comment on the issue ofquantum (in)stability in this theory at linear order.

Features and stability analysis of non-Schwarzschild black hole in quadratic gravity