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Recently, a static spherically symmetric black hole solution was found ingravity nonminimally coupled a background Kalb-Ramond field. The Lorentzsymmetry is spontaneously broken when the Kalb-Ramond field has a nonvanishingvacuum expectation value. In this work, we focus on the quasinormal modes andgreybody factor of this black hole. The master equations for the perturbedscalar field, electromagnetic field, and gravitational field can be writteninto a uniform form. We use three methods to solve the quasinormal frequenciesin the frequency domain. The results agree well with each other. The timeevolution of a Gaussian wave packet is studied. The quasinormal frequenciesfitted from the time evolution data agree well with that of frequency domain.The greybody factor is calculated by Wentzel-Kramers-Brillouin (WKB) method.The effect of the Lorentz-violating parameter on the quasinormal modes andgreybody factor are also studied.

Quasinormal modes and greybody factor of a Lorentz-violating black hole