Skip to main content
SpringerLink
Log in

Quantum Gravity Effects on Hawking Radiation of Schwarzschild-de Sitter Black Holes

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The correction of Hawking temperature of Schwarzschild-de Sitter (SdS) black hole is investigated using the generalized Klein-Gordon equation and the generalized Dirac equation by taking the quantum gravity effects into account. We derive the corrected Hawking temperatures for scalar particles and fermions crossing the event horizon. The quantum gravity effects prevent the rise of temperature in the SdS black hole. Besides correction of Hawking temperature, the Hawking radiation of SdS black hole is also investigated using massive particles tunneling method. By considering self gravitation effect of the emitted particles and the space time background to be dynamical, it is also shown that the tunneling rate is related to the change of Bekenstein-Hawking entropy and small correction term (1 + 2β m 2). If the energy and the angular momentum are taken to be conserved, the derived emission spectrum deviates from the pure thermal spectrum. This result gives a correction to the Hawking radiation and is also in agreement with the result of Parikh and Wilczek.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Hawking, S.W.: Nature 248, 30 (1974)

    Article  ADS  Google Scholar 

  2. Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)

    Article  ADS  Google Scholar 

  3. Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  4. Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: JHEP 14, 5 (2005)

    Google Scholar 

  5. Ren, J., Zhao, Z.: Int. J. Theor. Phys. 45, 1221 (2006)

    Google Scholar 

  6. Ren, J., Zhao, Z.: Int. J. Theor. Phys. 46, 3109 (2007)

    Article  Google Scholar 

  7. Wang, G., Liu, B., Wenbiao, L.: Gen. Relativ. Gravit. 42, 633 (2010)

    Article  ADS  Google Scholar 

  8. Rahman, M.A., Hossain, M.I.: Phys. Lett. B 712, 1 (2005)

    Article  ADS  Google Scholar 

  9. Ibungochouba, T., Ablu, I., Yugindro, K.: Astrophys. Space Sci. 345, 177 (2013)

    Article  ADS  Google Scholar 

  10. Kerner, M., Mann, R.B.: Class. Quantum. Gravity 25, 095014 (2008)

    Article  ADS  Google Scholar 

  11. Li, R., Ren, J.R.: Phys. Lett. B 661, 370 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  12. Chen, D.Y., Jiang, Q.Q., Zu, X.T.: Phys. Lett. B 665, 106 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  13. Kai, K., Yang, S.Z.: Phys. Rev. D 79, 064035 (2009)

    Article  ADS  Google Scholar 

  14. Ibungochouba, T., Ablu, I., Yugindro, K.: Astrophys. Space Sci. 352, 737 (2014)

    Article  ADS  Google Scholar 

  15. Townsend, P.K.: Phys. Rev. D 15, 2795 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  16. Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 216, 41 (1989)

    Article  ADS  Google Scholar 

  17. Garay, L.J.: Int. J. Mod. Phys. A 10, 276 (1995)

    Article  Google Scholar 

  18. Konishi, K., Paffuti, G., Provero, P.: Phys. Lett. B 234, 276 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  19. Amelino-Camelia, G.: Int. J. Mod. Phys. D 11, 35 (2002)

    Article  ADS  Google Scholar 

  20. Kempf, A., Mangano, G., Mann, R. B.: Phys. Rev. D 52, 1108 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  21. Das, S, Vagenas, E.C.: Phys. Rev. Lett. 101, 221301 (2008)

    Article  ADS  Google Scholar 

  22. Ali, A.F., Das, S, Vagenas, E.C.: Phys. Lett. B 678, 497 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  23. Majhi, B.R., Vagenas, E.C.: Phys. Lett. B 725, 477 (2013)

    Article  ADS  Google Scholar 

  24. Kim, W., Son, E.J., Yoon, M.: JHEP 0801, 035 (2008)

    Article  ADS  Google Scholar 

  25. Xiang, L., Wen, X.Q.: JHEP 09100910, 046 (2009)

    Article  ADS  Google Scholar 

  26. Chen, D.Y., Jiang, Q.Q., Zu, X.T.: Class Quant. Grav. 25, 205022 (2008)

    Article  ADS  Google Scholar 

  27. Chen, D.Y.: Eur. Phys. J. C 74, 2687 (2014)

    Article  ADS  Google Scholar 

  28. Haouat, S., Nouicer, K.: Phys. Rev. D 89, 105030 (2014)

    Article  ADS  Google Scholar 

  29. Nozari, K., Saghafi, S.: JHEP 1211, 005 (2012)

    Article  ADS  Google Scholar 

  30. Chen, D., Wu, H., Yang, H.: arXiv:1305.7104v2 [gr-qc] (2013)

  31. Wang, P., Yang, H., Ying, S.: arXiv:1410.5065v1 [gr-qc] (2014)

  32. Mu, B., Wang, P., Yang, H.: arXiv:1501.06025v1 [gr-qc] (2015)

  33. Cheng, T., Ren, R., Chen, D., Liu, Z., Li, G.: Int. J. Theor. Phys. 55, 3173 (2016)

    Article  Google Scholar 

  34. Li, Z., Zhang, L.: Int. J. Theor. Phys. 55, 401 (2016)

    Article  Google Scholar 

  35. Zeng, X.X., Chen, Y.: Gen. Relativ. Gravit. 47, 47 (2015)

    Article  ADS  Google Scholar 

  36. Chen, D.Y., Wu, H.W., Yang, H., Yang, S.: Int. J. Mod. Phys. A 29, 1430054 (2014)

    Article  ADS  Google Scholar 

  37. Chandrasekhar, S.: The Mathematical Theory of Black holes. Oxford University Press, New York (1983)

    MATH  Google Scholar 

  38. Bonner, W., Vaidya, P.C.: Gen. Relativ. Gravit. 1, 127 (1970)

    Article  ADS  Google Scholar 

  39. Chen, D.Y., Jiang, Q.Q., Wang, P., Yang, H.: JHEP 11, 176 (2013)

    Article  ADS  Google Scholar 

  40. Chen, D.Y., Wu, H.W., Yang, H.: JCAP 03, 036 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Manipur University, Canchipur, Manipur, India

    T. Ibungochouba Singh

  2. Department of Physics, Modern College, Imphal, Manipur, India

    I. Ablu Meitei

  3. Department of Physics, Manipur University, Canchipur, Manipur, India

    K. Yugindro Singh

Authors
  1. T. Ibungochouba Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Ablu Meitei
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Yugindro Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. Ibungochouba Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, T.I., Meitei, I.A. & Singh, K.Y. Quantum Gravity Effects on Hawking Radiation of Schwarzschild-de Sitter Black Holes. Int J Theor Phys 56, 2640–2650 (2017). https://doi.org/10.1007/s10773-017-3420-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-017-3420-9

Keywords

Search

Navigation