Abstract
The minimum interval of event horizon area of Rerssner-Nordström 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-Nordström black hole was deduced strictly. By analyzing the value of the minimum spin j m i n , the two families of quasi-normal mode spectra of the charged black hole were obtained for j m i n = 1/2 and j m i n = 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.
Similar content being viewed by others
References
Ruffini, R., Wheeler, J.A.: Phys. Today 24, 30 (1971)
Maggiore, M.: Phys. Rev. Lett. 100, 141301 (2008)
Li, C.A., Jiang, J.J., Su, J.Q.: Sci. China G 52, 1179 (2009)
Regge, T., Wheeler, J.A.: Phys. Rev. 108, 1063 (1957)
Teukolsky, S.A.: Phys. Rev. Lett. 29, 1114 (1972)
Hod, S.: Phys. Rev. D 80, 064004 (2009)
Mashhoon, B.: Phys. Rev. D 31, 290 (1985)
Bekenstein, J.D.: Phys.Rev. D 7, 2333 (1973)
Dreye, O.: Phys. Rev. Lett. 90, 081301 (2003)
Alejandro, C., Jacobo, D.P., Enrique, F.B.: Phys. Rev. Lett. 98, 181301 (2007)
Bekenstein, J.D.: Lett. Nuovo Cim. 11, 467 (1974)
Noller, H.P.: Phys. Rev. D 47, 5253 (1993)
Hod, S.: Phys. Rev. Lett. 81, 4293 (1998)
Motl, L.: Adv. Theor. Math. Phys. 6, 1135 (2003)
Motl, L.: Adv. Theor. Math. Phys. 7, 307 (2003)
Hod, S.: Class Quant. Grav. 23, L23 (2006)
Ashtekar, A., Lewandowski, J: Class Quant. Grav. 14, A55 (1997)
Ashtekar, A., Corichi, J., Krasnov, K.: Phys. Rev. Lett. 80, 904 (1998)
Acknowledgements
Project supported by the National Natural Science Foundation of China (Grant No. 11575270), and Shandong Provincial Natural Science Foundation, China (Grant No. ZR2011AM020).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jiang, JJ., Liu, JL. & Li, CA. Quasi-normal Modes of Rerssner-Nordström Black Hole. Int J Theor Phys 56, 2206–2211 (2017). https://doi.org/10.1007/s10773-017-3367-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-017-3367-x