Advertisement

General Relativity and Gravitation

, Volume 43, Issue 6, pp 1889–1899 | Cite as

Dynamical behavior and nonminimal derivative coupling scalar field of Reissner-Nordström black hole with a global monopole

  • Kai Lin
  • Jin Li
  • Nan Yang
Research Article

Abstract

In this paper, we research the dynamical evolution and quasinormal modes of nonminimal derivative coupling scalar field in Reissner-Nordström spacetime with a global monopole. We also find that Hawking radiation behavior near the event horizon is similar to the scalar field case. In the whole spacetime, the conclusions show that weak coupling field will affect the dynamical behavior delicately, but the strong coupling constant η results in the deformation of dynamical evolution curve. When η > η c , the black hole system will not be stable. The break from the global monopole also intensely affect the dynamical behavior of this black hole spacetime. Furthermore, the break will promote the instability of the coupling field.

Keywords

Quasinormal modes Nonminimal derivative coupling scalar field Reissner-Nordström black hole with a global monopole Hawking radiation Stability of black hole 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Ratra B., Peebles J.: Phys. Rev. D 37, 3406 (1988)ADSCrossRefGoogle Scholar
  2. 2.
    Wetterich C.: Nucl. Phys. B 302, 668 (1988)ADSCrossRefGoogle Scholar
  3. 3.
    Chen S.W., Yang S.Z., Hao X.Z., Liu X.W.: Chin. Phys. Lett. 25, 3162 (2008)ADSCrossRefGoogle Scholar
  4. 4.
    Sushkov S.V.: Phys. Rev. D 80, 103505 (2009)MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    Chen, S.B., Jing, J.: Phys. Lett. B 691, 254 (2010). arXiv:1005.5601Google Scholar
  6. 6.
    Gao C.J.: JCAP 06, 023 (2010)ADSGoogle Scholar
  7. 7.
    Saridakis E.N., Sushkov S.V.: Phys. Rev. D 81, 083510 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    Granda, L.N.: JCAP 07, 006 (2010). [arXiv:0911.3702]Google Scholar
  9. 9.
    Chen, S.B., Jing, J.: Phys. Rev. D 82, 084006 (2010). [arXiv:1007.2019]Google Scholar
  10. 10.
    Gangopadhyay S.: Phys. Rev. D 78, 044026 (2008)MathSciNetADSCrossRefGoogle Scholar
  11. 11.
    Barriola M., Vilenkin A.: Phys. Rev. Lett. 63, 341 (1989)ADSCrossRefGoogle Scholar
  12. 12.
    Hawking S.W.: Nature 248, 30 (1974)ADSCrossRefGoogle Scholar
  13. 13.
    Hawking S.W.: Commun. Math. Phys. 43, 199 (1975)MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    Damoar T., Ruffini R.: Phys. Rev. D 14, 332 (1976)ADSCrossRefGoogle Scholar
  15. 15.
    Sannan S.: Gen. Relativ. Gravit. 20, 239 (1988)MathSciNetADSCrossRefGoogle Scholar
  16. 16.
    Robinson S.P., Wilczek F.: Phys. Rev. Lett. 95, 011303 (1988) (2005). [arXiv:gr-qc/0502074]MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    Kraus P., Wilczek F.: Nucl. Phys. B 433, 403 (1995). [arXiv:gr-qc/9408003]ADSCrossRefGoogle Scholar
  18. 18.
    Parikh M.K., Wilczek F.: Phys. Rev. Lett. 85, 5042 (2000). [arXiv:hep-th/9907001]MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    Zhang J.Y., Zhao Z.: JHEP 0510, 055 (2005)ADSCrossRefGoogle Scholar
  20. 20.
    Zhang J.Y., Zhao Z.: Phys. Lett. B 638, 110 (2006)MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    Li R., Ren J.R., Wei S.W.: Class. Quantum Gravity 25, 125016 (2006) (2008). [arXiv:0803.1410]MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    Li R., Ren J.R.: Phys. Lett. B 661, 370 (2006) (2008). [arXiv:0802.3954]MathSciNetADSCrossRefGoogle Scholar
  23. 23.
    Chen D.Y., Jiang Q.Q., Zu X.T.: Class. Quantum Gravity 25, 205022 (2006) (2008). [arXiv:0803.3248]MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    Chen D.Y., Jiang Q.Q., Zu X.T.: Phys. Lett. B 665, 106 (2006) (2008). [arXiv:0804.0131]MathSciNetADSCrossRefGoogle Scholar
  25. 25.
    Lin K., Yang S.Z.: Phys. Rev. D 79, 064035 (2009)ADSCrossRefGoogle Scholar
  26. 26.
    Lin K., Yang S.Z.: Phys. Lett. B 674, 127 (2009)MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    Lin K., Yang S.Z.: Europhys. Lett. 86, 20006 (2009)ADSCrossRefGoogle Scholar
  28. 28.
    Li H.L., Yang S.Z., Zhou T.J., Lin R.: Europhys. Lett. 84, 20003 (2008)ADSCrossRefGoogle Scholar
  29. 29.
    Criscienzo R.D., Vanzo L.: Europhys. Lett. 82, 60001 (2008)CrossRefGoogle Scholar
  30. 30.
    Robinson S.P., Wilczek F.: Phys. Rev. Lett. 95, 011303 (2008) (2005). [arXiv:gr-qc/0502074]MathSciNetADSCrossRefGoogle Scholar
  31. 31.
    Jiang Q.Q., Wu S.Q., Cai X.: Phys. Lett. B 647, 200 (2007)MathSciNetADSCrossRefGoogle Scholar
  32. 32.
    Jiang Q.Q., Wu S.Q., Cai X.: Phys. Lett. B 651, 58 (2007)MathSciNetADSCrossRefGoogle Scholar
  33. 33.
    Jiang Q.Q., Wu S.Q., Cai X.: Phys. Rev. D 75, 064029 (2007)MathSciNetADSCrossRefGoogle Scholar
  34. 34.
    Wu S.Q., Peng J.J.: Class. Quantum Gravity 24, 5123 (2007)MathSciNetADSMATHCrossRefGoogle Scholar
  35. 35.
    Peng J.J., Wu S.Q.: Chin. Phys. B 17, 825 (2008)ADSCrossRefGoogle Scholar
  36. 36.
    Banerjee, R., Kulkarni, S.: Phys. Rev. D 77, 024018 (2008). [arXiv:0707.2449]Google Scholar
  37. 37.
    Leaver E.W.: Proc. R. Soc. A 402, 285 (1985)MathSciNetADSCrossRefGoogle Scholar
  38. 38.
    Nollert H.P.: Class. Quatum Gravity 16, R159 (1999)MathSciNetADSMATHCrossRefGoogle Scholar
  39. 39.
    Gundlach C., Price R.H., Pullin J.: Phys. Rev. D 49, 883 (1994)ADSCrossRefGoogle Scholar
  40. 40.
    Gundlach C., Price R.H., Pullin J.: Phys. Rev. D 49, 890 (1994)ADSCrossRefGoogle Scholar
  41. 41.
    Ferrari V., Mashhoon B.: Phys. Rev. D 30, 295 (1984)MathSciNetADSCrossRefGoogle Scholar
  42. 42.
    Jing J.L., Pan Q.Y.: Phys. Lett. B 660, 13 (2008)ADSCrossRefGoogle Scholar
  43. 43.
    Pan Q.Y., Jing J.L.: Mod. Phys. Lett. A 21, 2671 (2006)MathSciNetADSMATHCrossRefGoogle Scholar
  44. 44.
    Pan Q.Y., Jing J.L.: J. High. Ener. Phys. 01, 044 (2007)MathSciNetADSCrossRefGoogle Scholar
  45. 45.
    Pan Q.Y., Jing J.L.: Phys. Rev. D 78, 065015 (2008)MathSciNetADSCrossRefGoogle Scholar
  46. 46.
    Yoshida S., Uchikata N., Futamase T.: Phys. Rev. D 81, 044005 (2010)MathSciNetADSCrossRefGoogle Scholar
  47. 47.
    Chen S.B., Wang B., Su R.K.: Phys. Lett. B 647, 282 (2007)MathSciNetADSCrossRefGoogle Scholar
  48. 48.
    Zhang, Y., Gui, Y.X.: Class. Quantum Gravity 23, 6141 (2006)Google Scholar
  49. 49.
    Berti E., Cardoso V.: Phys. Rev. D 74, 104020 (2006)MathSciNetADSCrossRefGoogle Scholar
  50. 50.
    Berti E., Cardoso V.: Phys. Rev. D 77, 087501 (2008)ADSCrossRefGoogle Scholar
  51. 51.
    Horowitz G.T., Hubeny V.E.: Phys. Rev. D 62, 024027 (2000)MathSciNetADSCrossRefGoogle Scholar
  52. 52.
    Konoplya, R.A., Zhidenko, A.: Phys. Rev. Lett. 103, 161101 (2009). arXiv:0809.2822 [hep-th]Google Scholar
  53. 53.
    Konoplya R.A., Zhidenko A.: Nucl. Phys. B 777, 182 (2007) [hep-th/0703231]MathSciNetADSMATHCrossRefGoogle Scholar
  54. 54.
    Konoplya R.A., Zhidenko A.: Phys. Rev. D 78, 104017 (2008)MathSciNetADSCrossRefGoogle Scholar
  55. 55.
    Konoplya R.A., Zhidenko A.: Phys. Rev. D 76, 084018 (2007)MathSciNetADSCrossRefGoogle Scholar
  56. 56.
    Konoplya R.A.: Phys. Lett. B 666, 283 (2008)MathSciNetADSCrossRefGoogle Scholar
  57. 57.
    Konoplya R.A., Vassilevich D.V.: J. High Energy Phys. 0801, 068 (2008)MathSciNetADSCrossRefGoogle Scholar
  58. 58.
    Konoplya R.A., Fontana R.D.B.: Phys. Lett. B 659, 375 (2008)MathSciNetADSCrossRefGoogle Scholar
  59. 59.
    Mahamat S., Bouetou T., Timoleon C.K.: Chin. Phys. Lett. 26, 109802 (2009)ADSCrossRefGoogle Scholar
  60. 60.
    Berti E., Cardoso V., Pani P.: Phys. Rev. D 80, 101501 (2009)MathSciNetADSCrossRefGoogle Scholar
  61. 61.
    Morgan J., Cardoso V., Miranda A.S., Molina C., Zanchin V.T.: Phys. Rev. D 79, 024024 (2009)MathSciNetADSCrossRefGoogle Scholar
  62. 62.
    Jing J.L., Pan Q.Y.: Phys. Rev. D 71, 124011 (2005)MathSciNetADSCrossRefGoogle Scholar
  63. 63.
    Cardoso V., Konoplya R., Lemos J.P.: Phys. Rev. D 68, 044024 (2003)MathSciNetADSCrossRefGoogle Scholar
  64. 64.
    Zhu J.M., Wang B., Abdalla E.: Phys. Rev. D 63, 124004 (2001)ADSCrossRefGoogle Scholar
  65. 65.
    Wang B., Lin C.Y., Molina C.: Phys. Rev. D 70, 064025 (2004)MathSciNetADSCrossRefGoogle Scholar
  66. 66.
    Wang B., Lin C.Y., Abdalla E.: Phys. Lett. B 481, 79 (2000)MathSciNetADSMATHCrossRefGoogle Scholar
  67. 67.
    Birmingham D.: Phys. Rev. D 64, 064024 (2001)MathSciNetADSCrossRefGoogle Scholar
  68. 68.
    Cardoso V., Lemos J.P.S.: Phys. Rev. D 64, 084017 (2001)MathSciNetADSCrossRefGoogle Scholar
  69. 69.
    Moss I.G., Norman J.P.: Class. Quantum Gravity 19, 2323 (2002)MathSciNetADSMATHCrossRefGoogle Scholar
  70. 70.
    Berti E., Kokkotas K.D.: Phys. Rev. D 67, 064020 (2003)MathSciNetADSCrossRefGoogle Scholar
  71. 71.
    Giammatteo M., Moss I.G.: Class. Quantum Gravity 22, 1803 (2005)MathSciNetADSMATHCrossRefGoogle Scholar
  72. 72.
    Zhu Y., Jing J.L.: Chin. Phys. Lett. 22, 2496 (2005)ADSCrossRefGoogle Scholar
  73. 73.
    Friess J.J., Gubser S.S., Michalogiorgakis G., Pufu S.S.: J. High Energy Phys. 0704, 080 (2007)MathSciNetADSCrossRefGoogle Scholar
  74. 74.
    Schutz B.F., Will C.M.: Astro. J. 291, L33 (1985)ADSCrossRefGoogle Scholar
  75. 75.
    Iyer S., Will C.W.: Phys. Rev. D 15, 3621 (1987)ADSCrossRefGoogle Scholar
  76. 76.
    Konoplya R.A.: Phys. Rev. D 68, 024018 (1987) (2003). arXiv:gr-qc/0303052ADSCrossRefGoogle Scholar
  77. 77.
    Zhidenko A.: Class. Quant. Grav. 21, 273 (1987) (2004). arXiv:gr-qc/0307012v4MathSciNetADSMATHCrossRefGoogle Scholar
  78. 78.
    Fernando, S.: Int. J. Mod. Phys. A 25, 669–684 (2010). arXiv:hep-th/0502239v5Google Scholar
  79. 79.
    Lpez-Ortega A.: Gen. Relativ. Gravit. 40, 1379–1401 (2008) (2008). arXiv:0706.2933v1ADSCrossRefGoogle Scholar
  80. 80.
    Piedra O.P.F., de Oliveira J.: Int. J. Mod. Phys. D 19, 63 (2010) (2010). arXiv:0902.1487ADSMATHCrossRefGoogle Scholar
  81. 81.
    Gleiser R.J., Dotti G.: Phys. Rev. D 72, 124002 (2005)MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsChongqing UniversityChongqingChina

Personalised recommendations