Research on Real Part of Quasi-Normal Modes Frequency in Kerr Black Hole

Abstract

Based on the theory of loop quantum gravitation and the first law of black hole thermodynamics, the real part of the quasi-regular mode frequency of Kerr black hole is derived strictly, and the quasi-regular mode frequency spectrum of Kerr black hole is obtained. The results show that there are two families of quasi-rnormal mode frequencies of Kerr black holes, one of which is related to the parameters of the event horizon outside the black hole, while the other is only dependent on the parameters of the event horizon of Schwarzschild black holes. Our results are in good agreement with Hod’s analytical results. By choosing the minimum spin, we confirmed the present results of quasi-normal mode frequencies in Kerr black holes.