Skip to main content
Log in

Scalar field coupling to Einstein tensor in regular black hole spacetime

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

In this paper, we study the perturbation property of a scalar field coupling to Einstein’s tensor in the background of the regular black hole spacetimes. Our calculations show that the the coupling constant \(\eta \) imprints in the wave equation of a scalar perturbation. We calculated the quasinormal modes of scalar field coupling to Einstein’s tensor in the regular black hole spacetimes by the 3rd order WKB method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Frolov, V.P., Novikov, I.D.: Black Hole Physics: Basic Concept and New Developments. Kluwer Academic, Dordrecht (1998)

    Book  MATH  Google Scholar 

  2. Vishveshwara, C.V.: Nature 227, 936 (1970)

    Article  ADS  Google Scholar 

  3. Konoplya, R.A., Fontana, R.D.B.: Phys. Lett. B 659, 375 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  4. Brito, R., Cardoso, V., Pani, P.: Phys. Rev. D 89, 104045 (2014)

    Article  ADS  Google Scholar 

  5. Konoplya, R.A., Zhidenko, A.V.: Phys. Lett. B 609, 377 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  6. Hod, S.: Phys. Rev. D 91, 044047 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  7. Brito, R., Cardoso, V., Pani, P.: arXiv:1501.06570v2

  8. Berti, E., Cardoso, V., Yoshida, S.: Phys. Rev. D 69, 124018 (2004)

    Article  ADS  Google Scholar 

  9. Betti, E., Kokkotas, K.D.: Phys. Rev. D 67, 064020 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  10. Wu, C., Xu, R.: Eur. Phys. J. C 75, 391 (2015)

    Article  ADS  Google Scholar 

  11. Zhu, Z., Zhang, S.J., Pellicer, C.E., Wang, B., Abdalla, E.: Phys. Rev. D 90, 044042 (2014)

    Article  ADS  Google Scholar 

  12. Konoplya, R.A.: Phys. Rev. D 66, 044009 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  13. Wang, B., Lin, C.Y., Abdalla, E.: Phys. Lett. B 481, 79 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  14. Wang, B., Abdalla, E., Mann, R.B.: Phys. Rev. D 65, 084006 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  15. Wang, B., Lin, C.Y., Molina, C.: Phys. Rev. D 70, 064025 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  16. Birmingham, D., Sachs, I., Solodukhin, S.N.: Phys. Rev. Lett. 88, 151301 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  17. Birmingham, D.: Phys. Rev. D 64, 064024 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  18. Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 64, 084017 (2001)

    Article  ADS  Google Scholar 

  19. Cardoso, V., Lemos, J.P.S.: Class. Quantum. Gravity 18, 5257 (2001)

    Article  ADS  Google Scholar 

  20. Hod, S.: Phy. Rev. Lett. 81, 4293 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  21. Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Gravity 26, 163001 (2009)

    Article  ADS  Google Scholar 

  22. Konoplya, R.A., Zhidenko, A.V.: Rev. Mod. Phys. 83, 793 (2011)

    Article  ADS  Google Scholar 

  23. Berti, E., Cardoso, V., Will, C.M.: Phys. Rev. D 73, 064030 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  24. Abbott, B.P., et al.: Phys. Rev. Lett. 116, 061102 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  25. Abbott, B.P., et al.: Phys. Rev. Lett. 116, 131103 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  26. Chandrasekar, S.: The Mathematical Theory of Black Holes. Oxford University Press, Oxford (1983)

    Google Scholar 

  27. Bardeen, J.: Proceedings of GR5, Tiflis, U.S.S.R. (1968)

  28. Ayón-Beato, E., García, A.: Phys. Lett. B 493, 149 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  29. Hayward, S.A.: Phys. Rev. Lett. 96, 031103 (2006)

    Article  ADS  Google Scholar 

  30. Bronnikov, K.A.: Phys. Rev. D 63, 044005 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  31. Berej, W., Matyjasek, J., Tryniecki, D., Woronowicz, M.: Gen. Relativ. Gravit. 38, 885 (2006)

    Article  ADS  Google Scholar 

  32. Dymnikova, I.: Class. Quantum Gravity 21, 4417 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  33. Ayón-Beato, E., Garća, A.: Phys. Rev. Lett. 80, 5056 (1998)

    Article  ADS  Google Scholar 

  34. Eiroa, E.F., Sendra, C.M.: Class. Quantum Gravity 28, 085008 (2011)

    Article  ADS  Google Scholar 

  35. Hollenstein, L., Lobo, F.S.N.: Phys. Rev. D 78, 124007 (2008)

    Article  ADS  Google Scholar 

  36. Moreno, C., Sarbach, O.: Phys. Rev. D 67, 024028 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  37. Fernando, S., Correa, J.: Phys. Rev. D 86, 064039 (2012)

    Article  ADS  Google Scholar 

  38. Flachi, A., Lemos, J.P.S.: Phys. Rev. D 87, 024034 (2013)

    Article  ADS  Google Scholar 

  39. Li, J., Ma, H., Lin, K.: Phys. Rev. D 88, 064001 (2013)

    Article  ADS  Google Scholar 

  40. Li, J., Lin, K., Wen, H.: Adv. High Energy Phys. 2017, 5234214 (2017)

    Google Scholar 

  41. Lin, K., Li, J., Yang, N.: Gen. Relativ. Gravit. 43, 1889 (2011)

    Article  ADS  Google Scholar 

  42. Li, J., Lin, K., Yang, N.: Eur. Phys. J. C 75, 131 (2015)

    Article  ADS  Google Scholar 

  43. Amendola, L.: Phys. Lett. B 301, 175 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  44. Sushkov, S.V.: Phys. Rev. D 80, 103505 (2009)

    Article  ADS  Google Scholar 

  45. Gao, C.J.: arXiv:1002.4035

  46. Chen, S., Jing, J.: arXiv:1005.5601

  47. Chen, S., Jing, J.: Phys. Rev. D 82, 084006 (2010)

    Article  ADS  Google Scholar 

  48. Blázquez-Salcedo, J.L. et al.: arXiv:1609.01286

Download references

Acknowledgements

This work is supported partially by the Major State Basic Research Development Program in China (No. 2014CB845402).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chen Wu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, C., Wu, C. Scalar field coupling to Einstein tensor in regular black hole spacetime. Gen Relativ Gravit 50, 18 (2018). https://doi.org/10.1007/s10714-017-2336-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-017-2336-2

Keywords

Navigation