Loop quantum gravity and quasinormal mode of Kerr-Newman black hole

Taking the advantages of loop quantum gravity (LQG), the quasinormal mode frequency spectrum of black holes is studied with the first law of thermodynamics of black holes by calculating the tunneling rate. With the minimum event horizon area interval given by LQG, our results show that one group of the quasinormal mode spectrum for Kerr-Newman black hole depends only on the outer horizon parameters of the black hole. Choosing the minimum spin properly, we derive the quasinormal mode completely consistent with the present results. More importantly, our results show that the quasinormal modes of black holes should have a series of separated frequency spectra, which further proves that the space-time of black holes is quantized.