Quasi-normal Modes of Rerssner-Nordstrom Black Hole

The minimum interval of event horizon area of Rerssner-Nordstrom black hole was calculated via using the loop quantum gravity theory. Based on the first law of black hole thermodynamics, the real part of quasi-normal modes frequency of the black hole was calculated. The expression of asymptotically quasi-normal mode frequency of Rerssner-Nordstrom black hole was deduced strictly. By analyzing the value of the minimum spin j(min), the two families of quasi-normal mode spectra of the charged black hole were obtained for j(min) = 1/2 and j(min) = 1 respectively. Our conclusion is in complete agreement with the analytical results of Hod. Our results provide the theoretical basis for the source of the real part of the quasi-normal mode frequency of the black hole.