The tunneling radiation of a black hole with a f(R) global monopole under generalized uncertainty principle

Research Article
  • 41 Downloads

Abstract

The Parikh–Kraus–Wilczeck tunneling radiation of black hole involving a f(R) global monopole is considered based on the generalized uncertainty principle. The influences from global monopole, f(R) gravity and the corrections to the uncertainty appear in the expression of black hole entropy difference. It is found that the global monopole and the revision of general relativity both hinder the black hole from emitting the photons. The two parts as corrections to the uncertainty make the entropy difference of this kind of black hole larger or smaller respectively.

Keywords

Black hole evaporation GUP f(R) theory Global monopole 

Notes

Acknowledgements

This work is supported by NSFC No. 10875043.

References

  1. 1.
    Carmeli, M.: Classical Fields: General Relativity and Gauge Theory. Wiley, Hoboken (1982)MATHGoogle Scholar
  2. 2.
    Schutz, B.: A First Course in General Relativity. Cambridge University Press, Cambridge (2009)CrossRefMATHGoogle Scholar
  3. 3.
    Hawking, S.W.: Nature 248, 30 (1974)ADSCrossRefGoogle Scholar
  4. 4.
    Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)ADSCrossRefGoogle Scholar
  5. 5.
    Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 2752 (1977)ADSCrossRefGoogle Scholar
  6. 6.
    Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403 (1995)ADSCrossRefGoogle Scholar
  7. 7.
    Kraus, P., Wilczek, F.: Nucl. Phys. B 437, 231 (1995)ADSCrossRefGoogle Scholar
  8. 8.
    Kraus, P., Keski-Vakkuri, E.: Nucl. Phys. B 491, 249 (1997)ADSCrossRefGoogle Scholar
  9. 9.
    Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 24007 (1999)ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    Shankaranarayanan, S., Padmanabhan, T., Srinivasan, K.: Class. Quantum Gravity 19, 2671 (2002)ADSCrossRefGoogle Scholar
  12. 12.
    Srinivasan, K.: Phys. Rev. D 67, 084026 (2003)ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    Iso, S., Umetsu, H., Wilczek, F.: Phys. Rev. D 74, 044017 (2006)ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 62 (2008)ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Banerjee, R., Majhi, B.R., Samanta, S.: Phys. Rev. D 77, 124035 (2008)ADSMathSciNetCrossRefGoogle Scholar
  16. 16.
    Kerner, R., Mann, R.B.: Phys. Lett. B 665, 277 (2008)ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    Hemming, S., Keski-Vakkuri, E.: Phys. Rev. D 64, 044006 (2001)ADSMathSciNetCrossRefGoogle Scholar
  18. 18.
    Agheben, M., Nadalini, M., Vanzo, I., Zerbini, S.: JHEP 0505, 014 (2005)ADSCrossRefGoogle Scholar
  19. 19.
    Wu, S., Jiang, Q.: JHEP 0603, 079 (2006)ADSCrossRefGoogle Scholar
  20. 20.
    Li, R., Ren, J.: Phys. Lett. B 661, 370 (2008)ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    Kerner, R., Mann, R.B.: Phys. Rev. D 73, 104010 (2006)ADSMathSciNetCrossRefGoogle Scholar
  22. 22.
    Zhang, J., Zhao, Z.: Phys. Lett. B 638, 110 (2006)ADSMathSciNetCrossRefGoogle Scholar
  23. 23.
    Jiang, Q., Wu, S., Cai, X.: Phys. Rev. D 73, 064003 (2006)ADSMathSciNetCrossRefGoogle Scholar
  24. 24.
    Li, R., Ren, J.: Class. Quantum Gravity 25, 1265016 (2008)CrossRefGoogle Scholar
  25. 25.
    Kerner, R., Mann, R.B.: Phys. Rev. D 75, 084022 (2007)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    Gross, D.J., Mende, P.F.: Nucl. Phys. B 303, 407 (1988)ADSCrossRefGoogle Scholar
  27. 27.
    Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 216, 41 (1989)ADSCrossRefGoogle Scholar
  28. 28.
    Kato, M.: Phys. Lett. B 245, 43 (1990)ADSCrossRefGoogle Scholar
  29. 29.
    Maggiore, M.: Phys. Lett. B 304, 65 (1993)ADSCrossRefGoogle Scholar
  30. 30.
    Garay, L.G.: Int. J. Mod. Phys. A 10, 145 (1995)ADSCrossRefGoogle Scholar
  31. 31.
    de Haro, S.: JHEP 9810, 023 (1998)CrossRefGoogle Scholar
  32. 32.
    Park, M.I.: Phys. Lett. B 659, 698 (2008)ADSMathSciNetCrossRefGoogle Scholar
  33. 33.
    Adler, R.J., Santiago, D.I.: Mod. Phys. Lett. A 14, 1371 (1999)ADSCrossRefGoogle Scholar
  34. 34.
    Kempf, A., Mangano, G., Mann, R.B.: Phys. Rev. D 52, 1108 (1995)ADSMathSciNetCrossRefGoogle Scholar
  35. 35.
    Kempf, A.: J. Phys. A 30, 2093 (1997)ADSMathSciNetCrossRefGoogle Scholar
  36. 36.
    Kempf, A., Mangano, G.: Phys. Rev. D 55, 7909 (1997)ADSCrossRefGoogle Scholar
  37. 37.
    Chang, L.N., Minic, D., Okamura, N., Takeuchi, T.: Phys. Rev. D 65, 125027 (2002)ADSMathSciNetCrossRefGoogle Scholar
  38. 38.
    Chang, L.N., Minic, D., Okamura, N., Takeuchi, T.: Phys. Rev. D 65, 125028 (2002)ADSCrossRefGoogle Scholar
  39. 39.
    Das, S., Vagenas, E.C., Ali, A.F.: Phys. Lett. B 690, 407 (2010)ADSCrossRefGoogle Scholar
  40. 40.
    Dehghani, M., Farmany, A.: Phys. Lett. B 675, 460 (2009)ADSMathSciNetCrossRefGoogle Scholar
  41. 41.
    Dehghani, M.: Phys. Lett. B 749, 125 (2015)ADSCrossRefGoogle Scholar
  42. 42.
    Kibble, T.W.B.: J. Phys. A 9, 1387 (1976)ADSCrossRefGoogle Scholar
  43. 43.
    Vilenkin, A.: Phys. Rep. 121, 263 (1985)ADSMathSciNetCrossRefGoogle Scholar
  44. 44.
    Barriola, M., Vilenkin, A.: Phys. Rev. Lett. 63, 341 (1989)ADSCrossRefGoogle Scholar
  45. 45.
    Buchdahl, H.A.: Mon. Not. R. Astron. Soc. 150, 1 (1970)ADSCrossRefGoogle Scholar
  46. 46.
    Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)ADSCrossRefGoogle Scholar
  47. 47.
    Carrol, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)ADSCrossRefGoogle Scholar
  48. 48.
    Fay, S., Tavakol, R., Tsujikawa, S.: Phys. Rev. D 75, 063509 (2007)ADSMathSciNetCrossRefGoogle Scholar
  49. 49.
    Carames, T.R.P., de Mello, E.R.B., Guimaraes, M.E.X.: Int. J. Mod. Phys. Conf. Ser. 03, 446 (2011)CrossRefGoogle Scholar
  50. 50.
    Carames, T.R.P., de Mello, E.R.B., Guimaraes, M.E.X.: Mod. Phys. Lett. A 27, 1250177 (2012)ADSCrossRefGoogle Scholar
  51. 51.
    Man, J., Cheng, H.: Phys. Rev. D 87, 044002 (2013)ADSCrossRefGoogle Scholar
  52. 52.
    Lustosa, F.B., Guimaraes, M.E.X., Ferreira, C.N., Neto, J.L.: (2015). arXiv: 1510.08176
  53. 53.
    Man, J., Cheng, H.: Phys. Rev. D 92, 024004 (2015)ADSMathSciNetCrossRefGoogle Scholar
  54. 54.
    Adler, R., Chen, P., Santiago, D.: Gen. Relativ. Gravit 33, 2101 (2001)ADSCrossRefGoogle Scholar
  55. 55.
    Xiang, L.: Phys. Lett. B 638, 519 (2006)ADSMathSciNetCrossRefGoogle Scholar
  56. 56.
    Ren, Z., et al.: Phys. Lett. B 641, 208 (2006)ADSMathSciNetCrossRefGoogle Scholar
  57. 57.
    Nouicer, K.: Phys. Lett. B 646, 63 (2007)ADSMathSciNetCrossRefGoogle Scholar
  58. 58.
    Kim, Y., Park, Y.: Phys. Lett. B 655, 63 (2007)CrossRefGoogle Scholar
  59. 59.
    Han, X., Li, H., Ling, Y.: Phys. Lett. B 666, 121 (2008)ADSMathSciNetCrossRefGoogle Scholar
  60. 60.
    Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 197, 81 (1987)ADSCrossRefGoogle Scholar
  61. 61.
    Hossenfelder, S., et al.: Phys. Lett. B 584, 109 (2004)ADSCrossRefGoogle Scholar
  62. 62.
    Hossenfelder, S., et al.: Phys. Rev. D 73, 105013 (2006)ADSCrossRefGoogle Scholar
  63. 63.
    Farmany, A., Abbasi, S., Naghipour, A.: Phys. Lett. B 650, 33 (2007)ADSCrossRefGoogle Scholar
  64. 64.
    Farmany, A., Abbasi, S., Naghipour, A.: Phys. Lett. B 659, 913 (2008)ADSCrossRefGoogle Scholar
  65. 65.
    Farmany, A., Abbasi, S., Naghipour, A.: Phys. Lett. B 682, 114 (2009)ADSMathSciNetCrossRefGoogle Scholar
  66. 66.
    Anacleto, M.A., Brito, F.A., Passos, E.: Phys. Lett. B 749, 181 (2015)ADSCrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Department of PhysicsEast China University of Science and TechnologyShanghaiChina

Personalised recommendations