Abstract
Using the WKB approximation method, the massless scalar quasinormal modes are studied in Reissner-Nordström-de Sitter quintessence spacetime. We analyze the effective potential and QNMs frequencies by varying angular harmonic index l, mass M, charge Q, quintessence energy b and cosmological constant L 2. The results show the effective potential and QNMs frequency are related to l, M, Q, b and L 2. Moreover, the b and L 2 can make the effective potential and QNMs frequency reduces.
Similar content being viewed by others
References
Hawking, S.W.: Particle creation by black holes. Commun. Math. Phys. 43, 199–220 (1975). doi:10.1007/BF02345020
Parikh, M.K., Wilczek, F.: Hawking Radiation As Tunneling. Phys. Rev. Lett. 85, 5042–5045 (2000). doi:10.1103/PhysRevLett.85.5042
Srinivasan, K., Padmanabhan, T.: Particle production and complex path analysis. Phys. Rev. D 60, 024007 (1999). doi:10.1103/PhysRevD.60.024007
Kerner, R., Mann, R.B.: Fermions tunnelling from black holes. Class. Quantum Gravity 25, 5014 (2008). doi:10.1088/0264-9381/25/9/095014
Wu, S.Q., Jiang, Q.Q.: Hawking radiation of charged particles as tunneling from Reissner- Nordstrom-de Sitter black holes with a global monopole. Phys. Lett. B 639(6), 684–684 (2006). doi:10.1016/j.physletb.2006.06.009
Jiang, Q.Q., Wu, S.Q., Cai, X.: Hawking radiation from (2 + 1)-dimensional BTZ black holes. Phys. Lett. B 651, 58–64 (2007). doi:10.1016/j.physletb.2007.05.058
Jiang, Q.Q.: Dirac particles tunnelling from black rings. Phys. Rev. D 78, 044009 (2008). doi:10.1103/PhysRevD.78.044009
Lin, K., Yang, S.Z.: Fermion tunnels of higher-dimensional anti-de Sitter Schwarzschild black hole and its corrected entropy. Phys. Lett. B 680(5), 506–509 (2009). doi:10.1016/j.physletb.2009.09.032
Chen, D.Y., Wu, H.W., Yang, H.T.: Fermions Tunnelling with Effects of Quantum Gravity. Adv. High. Energy Phys. 2013, 432412 (2013). doi:10.1155/2013/432412
Chen, D.Y., Jiang, Q.Q., Wang, P., Yang, H.T.: Remnants, fermions tunnelling and effects of quantum gravity. J. High Energy Phys. 2013(11), 173 (2013). doi:10.1007/jhep11(2013)176
Chen, D.Y., Wu, H.W., Yang, H.T.: Observing remnants by fermions tunneling. J. Cosmol. Astropart. Phys. 2014(3), 036 (2014). doi:10.1088/1475-7516/2014/03/036
Chen, D.Y.: Dirac particles tunneling from five-dimensional rotating black strings influenced by the generalized uncertainty principle. Eur. Phys. J. C 74(1), 2687 (2014). doi:10.1140/epjc/s10052-013-2687-0
Chen, D.Y., Li, Z.H.: Remarks on Remnants by Fermions Tunnelling from Black Strings. Adv. High. Energy Phys. 2014, 620157 (2014). doi:10.1155/2014/620157
Deng, G.M.: Hawking radiation of charged rotating AdS black holes in conformal gravity for charged massive particles, complex scalar and Dirac particles. Gen. Relat. Gravit. 46, 1757 (2014). doi:10.1007/s10509-014-1980-1
Wu, S.Q., Deng, G.M., Wu, D.: Hawking radiation from rotating AdS black holes in conformal gravity. Astrophys. Space Sci. 352, 751 (2014). doi:10.1007/s10714-014-1757-4
Wu, S.Q., Peng, J.J.: Thermodynamics and Hawking radiation of five-dimensional rotating charged Godel black holes. Phys. Rev. D. 83, 044028 (2011). doi:10.1103/PhysRevD.83.044028
Fernando, S., Correa, J.: Quasinormal Modes of Bardeen Black Hole: Scalar Perturbations. Phys. Rev. D 86, 064039 (2012). doi:10.1103/PhysRevD.86.064039
Vishveshwara, C.V.: Scattering of Gravitational Radiation by a Schwarzschild Black-hole. Nature 227, 936–938 (1970). doi:10.1038/227936a0
Chandrasekhar, S.: On the Equations Governing the Perturbations of the Schwarzschild Black Hole. Proc. R. Soc. London, Ser. A. 343, 289–298 (1975). doi:10.1098/rspa.1975.0066
Kokkotas, K.D., Schmidt, B.G.: Quasi-Normal Modes of Stars and Black Holes. Living Rev. Relativ. 2, 2 (1999). doi:10.12942/lrr-1999-2
Zhang, Y., Zhou, Y., Li, G.P.: Quasinormal Modes of Spherically Symmetric Curve Spacetime with Dark Matter Term. Int. J. Theor. Phys. 53, 216–223 (2014). doi:10.1007/s10773-013-1799-5
Lin, K., Li, J., Yang, S.Z., Zu, X.T.: Massive Scalar Quasinormal Modes of Higher Dimensional Small Dilatonic Black Hole. Int. J. Theor. Phys. 52, 1370–1378 (2013). doi:10.1007/s10773-012-1455-5
Lin, K., Yang, N., Li, J.: Electromagnetic Quasinormal Modes in Hořava-Lifshitz Gravity. Int. J. Theor. Phys. 50, 48–55 (2011). doi:10.1007/s10773-010-0492-1
Berti, E., Cardoso, V.: Quasinormal modes and thermodynamic phase transitions. Phys. Rev. D 77, 087501 (2008). doi:10.1103/PhysRevD.77.087501
Wang, B., Lin, C.Y., Abdalla, E.: Quasinormal modes of Reissner-Nordström Anti-de Sitter Black Holes. Phys. Lett. B 481, 79 (2000). doi:10.1016/S0370-2693(00)00409-3
Berti, E., Kokkotas, K.D.: Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations. Phys. Rev. D 67, 064020 (2003). doi:10.1103/PhysRevD.67.064020
Li, J., Ma, H., Lin, K.: Dirac quasinormal modes in spherically symmetric regular black holes. Phys. Rev. D 88, 064001 (2013). doi:10.1103/PhysRevD.88.064001
Dorband, E.N., Berti, E., Diener, P., Schnetter, E., Tiglio, M.: Numerical study of the quasinormal mode excitation of Kerr black holes. Phys. Rev. D 74, 084028 (2006). doi:10.1103/PhysRevD.74.084028
Nollert, H.P., Schmidt, B.G.: Quasinormal modes of Schwarzschild black holes: Defined and calculated via Laplace transformation. Phys. Rev. D 45, 2617 (1992). doi:10.1103/PhysRevD.45.2617
Zhidenko, A.: Quasi-normal modes of Schwarzschild de Sitter black holes. Class. Quant. Grav. 21, 273–280 (2004). doi:10.1088/0264-9381/21/1/019
Schutz, B.F., Will, C.M.: Black hole normal modes - A semianalytic approach. Astrophys. J. Lett. 291, L33 (1985). doi:10.1086/184453
Iyer, S., Will, C.M.: Black-hole normal modes: A WKB approach. I. Foundations and application of a higher-order WKB analysis of potential-barrier scattering. Phys. Rev. D 35, 3621 (1987). doi:10.1103/PhysRevD.35.3621
Konoplya, R.A.: Quasinormal behavior of the D-dimensional Schwarzschild black hole and the higher order WKB approach. Phys. Rev. D 68, 024018 (2003). doi:10.1103/PhysRevD.68.024018
Choudhury, T.R., Padmanabhan, T.: Concept of temperature in multi-horizon spacetimes: analysis of Schwarzschild De Sitter metric. Gen. Relat. Grav. 39, 1789 (2007). doi:10.1007/s10714-007-0489-0
Feng, Z.W., Zhang, L., Zu, X.T.: The remnants in Reissner Nordström de Sitter quintessence black hole. Modern Physics Letters A. 29, 1450123 (2014). doi:10.1142/S0217732314501235
Chandrasekhar, S.: The Mathematical Theory of Black Holes. Oxford University Press (2002)
Acknowledgements
This work is supported in part by the Natural Science Foundation of China (Grant No. 11178018 ).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Feng, ZW., Li, GP. & Zu, XT. Quasinormal Modes of Massless Scalar Field Perturbation in Reissner-Nordström-de Sitter Quintessence Spacetime. Int J Theor Phys 55, 367–379 (2016). https://doi.org/10.1007/s10773-015-2669-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-015-2669-0