Abstract
The quasinormal modes of massless scalar field perturbation of the Reissner–Nordström de Sitter black hole with a global monopole is investigated using the 6th order WKB method. The results show that the magnitude of the real part of the quasinormal frequencies decreases, while the magnitude of the imaginary one increases as \(b\) (related to \(\eta \)—the scale factor of symmetry-broking) increases for fixed angular harmonic index \(l\), overtone index \(n\), cosmological constant \(\Lambda \) and charge \(Q\). For fixed \(l\), \(n\), \(\Lambda \), and \(b\), the damping of massless scalar field in the space–time of the Reissner–Nordström de Sitter black hole with a global monopole faster and faster at first and afterwards becomes slower and slower with the increase of \(Q\) when the cosmological constant \(\Lambda \) is smaller, while the cosmological constant \(\Lambda \) is larger, the damping becomes faster and faster all the way with the increase of \(Q\).
Similar content being viewed by others
References
Vishveshwara, C.V.: Nature 227, 936 (1970)
Chandrasekhar, S.: Proc. R. Soc. Lond. Ser. A. 343, 289 (1975)
Kokkotas, K.D., Schmidt, B.G.: Living Rev. Rel. 2, 2 (1999)
Nollert, H.P.: Class. Quantum Gravity 16, R159 (1999)
Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Gravity 26, 163001 (2009). arXiv:0905.2975
Konoplya, R.A., Zhidenko, A.: Rev. Mod. Phys. 83, 793 (2011). arXiv:1102.4014
Konoplya, R.A., Zhidenko, A.: Phys. Rev. D 88, 024054 (2013). arXiv:1307.1812
Konoplya, R.A.: Phys. Rev. D 66, 044009 (2002). arXiv:hep-th/0205142
Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 67, 084020 (2003). arXiv:gr-qc/0301078
Cardoso, V., Konoplya, R., Lemos, J.P.S.: Phys. Rev. D 68, 044024 (2003). arXiv:gr-qc/0305037
Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 63, 124015 (2001). arXiv:gr-qc/0101052
Kokkotas, K.D., Konoplya, R.A., Zhidenko, A.: Phys. Rev. D 83, 024031 (2011). arXiv:1011.1843
Berti, E., Cardoso, V., Pani, P.: Phys. Rev. D 79, 101501 (2009). arXiv:0903.5311
Berti, E., Kokkotas, K.D.: Phys. Rev. D 67, 064020 (2003). arXiv:gr-qc/0301052
Abdalla, E., Chirenti, C.B.M.H., Saa, A.: JHEP 0710, 086 (2007). arXiv:gr-qc/0703071
Abdalla, E., Chirenti, C.B.M.H., Saa, A.: Phys. Rev. D 74, 084029 (2006). arXiv:gr-qc/0609036
Abdalla, E., Piedra, O.P.F., de Oliveira, J., Molina, C.: Phys. Rev. D 81, 064001 (2010). arXiv:0810.5489
Abdalla, E., Konoplya, R.A., Molina, C.: Phys. Rev. D 72, 084006 (2005). arXiv:hep-th/0507100
Molina, C., Giugno, D., Abdalla, E., Saa, A.: Phys. Rev. D 69, 104013 (2004). arXiv:gr-qc/0309079
Hod, S.: Phys. Lett. B 710, 349 (2012). arXiv:1205.5087
Hod, S.: Phys. Lett. B 666, 483 (2008). arXiv:0810.5419
Chen, S.B., Jing, J.: Phys. Rev. D 88, 064058 (2013). arXiv:1307.7459
Chen, S.B., Jing, J.: Phys. Lett. B 687, 124 (2010). arXiv:0905.1409
Zhang, Y., Gui, Y.X.: Class. Quantum Gravity 23, 6141 (2006). arXiv:gr-qc/0612009
Zhang, Y., Gui, Y., Yu, F., Li, F.: Gen. Relativ. Gravit. 39, 1003 (2007). arXiv:gr-qc/0612010
Varghese, N., Kuriakose, V.C.: Gen. Relativ. Gravit. 45, 189 (2013). arXiv:1210.0476
Lin, K., Li, J., Yang, S.: Int. J. Theor. Phys. 52, 3771 (2013)
Liu, D.-J., Yang, B., Zhai, Y.-J., Li, X.-Z.: Class. Quantum Gravity 29, 145009 (2012)
López-Ortega, A.: Gen. Relativ. Gravit. 44, 2387 (2012). arXiv:1207.6791
Piedra, O.P.F., de Oliveira, J.: Class. Quantum Gravity 28, 085003 (2011). arXiv:1006.3802
Saleh, M., Bouetou, B.T., Kofane, T.C.: Astrophys. Space Sci. 333, 449 (2011)
Kodama, H., Konoplya, R.A., Zhidenko, A.: Phys. Rev. D 81, 044007 (2010). arXiv:0904.2154
Chen, J.-H., Wang, Y.-J.: Chin. Phys. B 19, 060401 (2010)
Fernando, S.: Phys. Rev. D 79, 124026 (2009). arXiv:0903.0088
Xi, P.: Astrophys. Space Sci. 321, 47 (2009). arXiv:0810.4022
Liu, C.-Z., Zhu, J.-Y.: Chin. Phys. B 18, 4161 (2009). arXiv:gr-qc/0703058
Liu, M., Liu, H., Gui, Y.: Class. Quantum Gravity 25, 105001 (2008). arXiv:0806.2716
Dreyer, O.: Phys. Rev. Lett. 90, 081301 (2003). arXiv:gr-qc/0211076
Li, X.-Z., Hao, J.-G., Liu, D.-J.: Phys. Lett. B 507, 312 (2001). arXiv:gr-qc/0205007
Birmingham, D.: Phys. Rev. D 64, 064024 (2001). arXiv:hep-th/0101194
Wang, B., Lin, C.-Y., Abdalla, E.: Phys. Lett. B 481, 79 (2000). arXiv:hep-th/0003295
Horowitz, G.T., Hubeny, V.E.: Phys. Rev. D 62, 024027 (2000). arXiv:hep-th/9909056
Schutz, B.F., Will, C.M.: Astrophys. J. 291, L33 (1985)
Iyer, S., Will, C.M.: Phys. Rev. D 35, 3621 (1987)
Konoplya, R.A.: Phys. Rev. D 68, 024018 (2003). arXiv:gr-qc/0303052
Ferrari, V., Mashhoon, B.: Phys. Rev. D 30, 295 (1984)
Leaver, E.W.: Proc. R. Soc. A 402, 285 (1985)
Giammatteo, M., Moss, I.G.: Class. Quantum Gravity 22, 1803 (2005)
Konoplya, R.A., Zhidenko, A.V.: Phys. Rev. D 73, 124040 (2006). arXiv:gr-gc/0605013
López-Ortega, A.: Gen. Relativ. Gravit. 38, 1747 (2006). arXiv:gr-qc/0605034
Cho, H.T.: Phys. Rev. D 68, 024003 (2003). arXiv:gr-qc/0303078
Giammatteo, M., Jing, J. L.: Phys. Rev. D 71, 024007 (2005). arXiv:gr-qc/0403030
Jing, J.: Phys. Rev. D 69, 084009 (2004). arXiv:gr-qc/0312079
Jing, J., Pan, Q.: Phys. Rev. D 71, 124011 (2005). arXiv:gr-qc/0502011
Cardoso, V.: arXiv:gr-qc/0404093
Kibble, T.W.B.: J. Phys. A 9, 1387 (1976)
Vilenkin, A.: Phys. Rep. 121, 263 (1985)
Barriola, M., Vilenkin, A.: Phys. Rev. Lett. 63, 341 (1989)
Chang, J.-F., Shen, Y.-G.: Int. J. Theor. Phys. 45, 2319 (2006)
Zhang, Y., Jing, J.-L.: Chin. Phys. Lett. 22, 2496 (2005)
Zhou, Y., Yang, S.Z., Li, G.P.: Int. J. Theor. Phys. 52, 3367 (2013)
Gao, C.-J., Shen, Y.-G.: Chin. Phys. Lett. 19, 477 (2002)
Jiang, Q.-Q., Wu, S.-Q.: Phys. Lett. B 635, 151 (2006). arXiv:hep-th/0511123
Acknowledgments
This work was partially supported by the Talent Cultivation Foundation of Kunming University of Science and Technology under Grant No. KKSY201207053 and by the Working Funds of the Introduced High-level Talents of Yunnan Province from the Department of Human Resources and Social Security of Yunnan Province.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, Y., Li, EK. & Geng, JL. Quasinormal modes of massless scalar field perturbation of a Reissner–Nordström de Sitter black hole with a global monopole. Gen Relativ Gravit 46, 1728 (2014). https://doi.org/10.1007/s10714-014-1728-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10714-014-1728-9