Advertisement

Absorption and radiation of nonminimally coupled scalar field from charged BTZ black hole

Research Article
  • 25 Downloads

Abstract

In this paper we investigate the absorption and radiation of nonminimally coupled scalar field from the charged BTZ black hole. We find the analytical expressions for the reflection coefficient, the absorption cross section and the decay rate in strong coupling case. We find that the reflection coefficient is directly governed by Hawking temperature \(T_{H}\), scalar wave frequency \(\omega \), Bekenstein–Hawking entropy \(S_{BH}\), angular momentum m and coupling constant \(\xi \).

Keywords

Absorption cross section Reflection coefficient Charged BTZ black hole 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. U1731107.

References

  1. 1.
    Hawking, S.: Nature 248, 30 (1974)ADSCrossRefGoogle Scholar
  2. 2.
    Hawking, S.: Commun. Math. Phys. 43, 199 (1975)ADSCrossRefGoogle Scholar
  3. 3.
    Campuzano, C., Gonzalez, P., Rojas, E., Saavedra, J.: JHEP 06, 103 (2010)ADSCrossRefGoogle Scholar
  4. 4.
    Panotopoulos, G., Rincón, Á.: Phys. Lett. B 772, 523 (2017)Google Scholar
  5. 5.
    Cveti, M., Larsen, F.: Nucl. Phys. B 506, 107 (1997)ADSCrossRefGoogle Scholar
  6. 6.
    Kanti, P., Pappas, T., Pappas, N.: Phys. Rev. D 90, 124077 (2014)ADSCrossRefGoogle Scholar
  7. 7.
    Pappas, T., Kanti, P., Pappas, N.: Phys. Rev. D 94, 024035 (2016)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    Fernando, S.: Gen. Rel. Grav. 37, 461 (2005)ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    Fernando, S.: Phys. Rev. D 79, 124026 (2009)ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    Sakalli, I.: Phys. Rev. D 94, 084040 (2016)ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    Sakalli, I., Aslan, O.A.: Astropart. Phys. 74, 73 (2016)ADSCrossRefGoogle Scholar
  12. 12.
    Birmingham, D., Sachs, I., Sen, S.: Phys. Lett. B 413, 281 (1997)ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    Myung, Y.S.: Mod. Phys. Lett. A 18, 617 (2003)ADSCrossRefGoogle Scholar
  14. 14.
    Banados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992)ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Carlip, S.: Class. Quantum Gravity 12, 2853 (1995)ADSCrossRefGoogle Scholar
  16. 16.
    Achucarro, A., Townsend, P.K.: Phys. Lett. B 180, 89 (1986)ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    Witten, E.: Nucl. Phys. B 311, 46 (1988)ADSCrossRefGoogle Scholar
  18. 18.
    Witten, E.: arXiv:0706.3359 [hep-th]
  19. 19.
    Hendi, S.H., Panah, B.E., Panahiyan, S.: JHEP 01, 129 (2016)ADSCrossRefGoogle Scholar
  20. 20.
    Kuchiev, M.Y.: Phys. Rev. D 69, 124031 (2004)ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    Kuchiev, M.Y.: EPL 65, 445 (2004)ADSMathSciNetCrossRefGoogle Scholar
  22. 22.
    Kuchiev, M.Y.: arXiv preprint arXiv:gr-qc/0310008 (2003)
  23. 23.
    Kuchiev, M.Y., Flambaum, V.V.: Phys. Rev. D 70, 044022 (2004)ADSMathSciNetCrossRefGoogle Scholar
  24. 24.
    Kamata, M., Koikawa, T.: Phys. Lett. B 196, 353 (1995)CrossRefGoogle Scholar
  25. 25.
    Cataldo, M., Salgado, P.: Phys. Lett. B 448, 20 (1999)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    Martinez, C., Teitelboim, C., Zanelli, J.: Phys. Rev. D 61, 104013 (2000)ADSMathSciNetCrossRefGoogle Scholar
  27. 27.
    Gwak, B., Lee, B.H.: Phys. Lett. B 324, 755 (2016)Google Scholar
  28. 28.
    Songbai, C., Jiliang, J.: Phys. Lett. B 254, 691 (2010)Google Scholar
  29. 29.
    Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions. Academic, New York (1996)MATHGoogle Scholar
  30. 30.
    Das, S.R., Gibbons, G.W., Mathur, S.D.: Phys. Rev. Lett. 78, 417 (1997)ADSCrossRefGoogle Scholar
  31. 31.
    Emparan, R.: Nucl. Phys. B 516, 297 (1998)ADSCrossRefGoogle Scholar
  32. 32.
    Maldacena, J., Strominger, A.: Phys. Rev. D 56, 4975 (1997)ADSMathSciNetCrossRefGoogle Scholar
  33. 33.
    Cvetic, M., larson, F.: Phys. Rev. D 56, 4994 (1997)ADSMathSciNetCrossRefGoogle Scholar
  34. 34.
    Higuchi, A.: Class. Quantum Gravity 18, 139 (2001)ADSMathSciNetCrossRefGoogle Scholar
  35. 35.
    Jung, E., Kim, S.H., Park, D.K.: JHEP 09, 005 (2004)ADSCrossRefGoogle Scholar
  36. 36.
    Birmingham, D.B., Sachs, I., Sen, S.: Phys. Lett. B 413, 281 (1997)ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangshaPeople’s Republic of China

Personalised recommendations