Skip to main content
Log in

Comparison of Approaches to Quantum Gravitational Corrections on the Reissner-Nordström-de Sitter Black Hole Tunneling Radiation

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

Abstract

Although the tunneling approach is fully established for black hole radiation, much work has been done to support the extension of this approach to more general settings. In this letter the Parikh-Kraus-Wilczeck tunneling proposal of black hole tunneling radiation is considered. The Reissner-Nordström-de Sitter black hole thermodynamics is studied according to the generalized uncertainty principle and the modified dispersion relation analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek calculations of the black hole tunneling probability receive new corrections. The results are compared and it is shown that these two alternative approaches lead to the same results if one uses the suitable expansion coefficients.

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.

References

  1. Hawking, S.W.: Nature 248, 30–31 (1974)

    Article  ADS  Google Scholar 

  2. Hawking, S.W.: Commun. Math. Phys. 43, 199–220 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  3. Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403–420 (1995)

    Article  ADS  Google Scholar 

  4. Kraus, P., Wilczek, F.: Nucl. Phys. B 437, 231–242 (1995)

    Article  ADS  Google Scholar 

  5. Kraus, P., Keski-Vakkuri, E.: Nucl. Phys. B 491, 249–262 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042–5045 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  7. Parikh, M.K., Wilczek, F.: Phys. Lett. B 546, 189–195 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Parikh, M.K.: Int. J. Mod. Phys. D 13, 2351–2354 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  9. Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 24007–24026 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  10. Shankaranarayanan, S., Srinivasan, K., Padmanabhan, T.: Mod. Phys. Lett. A 16, 571–578 (2001)

    Article  MathSciNet  Google Scholar 

  11. Shankaranarayanan, S., Padmanabhan, T., Srinivasan, K.: Class. Quantum Gravity 19, 2671–2687 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Srinivasan, K.: Phys. Rev. D 67, 084026–084037 (2003)

    ADS  Google Scholar 

  13. Iso, S., Umetsu, H., Wilczek, F.: Phys. Rev. D 74, 044017–044026 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  14. Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 62–66 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  15. Banerjee, R., Majhi, B.R., Samanta, S.: Phys. Rev. D 77, 124035–124042 (2008)

    ADS  MathSciNet  Google Scholar 

  16. Kerner, R., Mann, R.B.: Phys. Lett. B 665, 277–283 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  17. Agheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 05, 014–032 (2005)

    Google Scholar 

  18. Nouicer, K.: Phys. Lett. B 646, 63–71 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  19. Xiang, L.: Phys. Lett. B 638, 519–522 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  20. Adler, R., Chen, P., Santiago, D.: Gen. Relativ. Gravit. 33, 2101–2108 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  21. Han, X., Li, H., Ling, Y.: Phys. Lett. B 666, 121–124 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  22. Kim, Y.-W., Park, Y.-J.: Phys. Lett. B 655, 172–177 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  23. Amati, M., Ciafaloni, D., Veneziano, G.: Phys. Lett. B 197, 81–88 (1987)

    Article  ADS  Google Scholar 

  24. Ren, Z., Sheng-Li, Z.: Phys. Lett. B 641, 208–211 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  25. Maggior, M.: Phys. Rev. D 49, 5182–5187 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  26. Unruh, W.G.: Phys. Rev. D 51, 2827–2838 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  27. Colladay, D., Kostelecky, V.A.: Phys. Rev. D 58, 116002–11624 (1998)

    Article  ADS  Google Scholar 

  28. Coleman, S.R., Glashow, S.L.: Phys. Rev. D 59, 116008–116021 (1999)

    Article  ADS  Google Scholar 

  29. Myers, R.C., Pospelov, M.: Phys. Rev. Lett. 90, 211601–211605 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  30. Perlmutter, S., Gabi, S., Goldhaber, G., et al.: Astrophys. J. 483, 565–568 (1997)

    Article  ADS  Google Scholar 

  31. Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582–1585 (1998)

    Article  ADS  Google Scholar 

  32. Medved, A.J.M., Vagenas, E.: Mod. Phys. Lett. A 20, 2449–2453 (2005)

    Article  MATH  ADS  Google Scholar 

  33. Vagenas, E.: Phys. Lett. B 559, 65–73 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  34. Arzano, M., Medved, A.J.M., Vagenas, E.: J. High Energy Phys. 09, 037–049 (2005)

    MathSciNet  Google Scholar 

  35. Arzano, M.: Mod. Phys. Lett. A 21, 41–48 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  36. Painlevé, P.: C.R. Acad. Sci. 173, 677–680 (1921) (Paris)

    Google Scholar 

  37. Hossenfelder, S., et al.: Phys. Lett. B 584, 109–113 (2004)

    Article  ADS  Google Scholar 

  38. Hossenfelder, S.: Phys. Rev. D 73, 105013–105021 (2006)

    Article  ADS  Google Scholar 

  39. Kempf, A., Managano, G.: Phys. Rev. D 55, 7909–7920 (1997)

    Article  ADS  Google Scholar 

  40. Farmany, A., Abbasi, S., Naghipour, A.: Phys. Lett. B 650, 33–35 (2007)

    Article  ADS  Google Scholar 

  41. Farmany, A., Abbasi, S., Naghipour, A.: Phys. Lett. B 659, 913–914 (2008)

    Article  ADS  Google Scholar 

  42. Farmany, A., Dehghani, M., Setare, M.R., Mortazavi, S.S.: Phys. Lett. B 682, 114–117 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  43. Dehghani, M., Farmany, A.: Phys. Lett. B 675, 460–462 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  44. Dehghani, M., Farmany, A.: Braz. J. Phys. 39, 570–573 (2009)

    Google Scholar 

  45. Amelino-Camelia, G., Ellis, J., Mavromatos, N.E., Nanopoulos, D.V., Sarkar, S.: Nature 393, 763–765 (1998)

    Article  ADS  Google Scholar 

  46. Aloisio, R., Blasi, P., Ghia, P.L., Grillo, A.F.: Phys. Rev. D 62, 053010–053016 (2000)

    Article  ADS  Google Scholar 

  47. Amelino-Camelia, G., Piran, T.: Phys. Rev. D 64, 036005–036016 (2001)

    Article  ADS  Google Scholar 

  48. Jacobson, T., Liberati, S., Mattingly, D.: Phys. Rev. D 66, 081302–081306 (2002)

    Article  ADS  Google Scholar 

  49. Amelino-Camelia, G., Arzano, M., Ling, Y., Mandanica, G.: Class. Quantum Gravity 23, 2585–2606 (2006)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Dehghani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dehghani, M., Farmany, A. Comparison of Approaches to Quantum Gravitational Corrections on the Reissner-Nordström-de Sitter Black Hole Tunneling Radiation. Int J Theor Phys 49, 1633–1640 (2010). https://doi.org/10.1007/s10773-010-0327-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0327-0

Keywords

Navigation