Log in

Entropy of charged dilaton-axion black hole with minimal length revisited

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

Using the generalized uncertainty principle, we calculate the entropy of the charged dilaton-axion black hole for both asymptotically flat and non-flat cases by counting degrees of freedom near the horizon. The divergence of density of states and free energy appearing in the thin film brick-wall model is removed without any cutoff. The entropy proportional to the horizon area is derived from the contribution of the vicinity of the horizon.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.D. Bekenstein, Lett. Nuovo Cimento 4, 7371 (1972)

    Article  Google Scholar 

  2. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  3. J.D. Bekenstein, Phys. Rev. D 9, 3293 (1974)

    Article  ADS  Google Scholar 

  4. S.W. Hawking, Nature 248, 30 (1974)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  6. J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31, 161 (1973)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. G. ’t Hooft, Nucl. Phys. B 256, 727 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  8. R. Casadio, F. Finelli, M. Luzzi, G. Venturi, Phys. Rev. D 71, 043517 (2005)

    Article  ADS  Google Scholar 

  9. M. Luzzi, ar**v:0705.3764 (2007)

  10. L. Susskind, J. Uglum, Phys. Rev. D 50, 2700 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  11. R.G. Cai, Z.Y. Zhang, Mod. Phys. Letts. A 11, 2027 (1996)

    Article  ADS  Google Scholar 

  12. E. Winstanley, Phys. Rev. D 63, 084013 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  13. W.T. Kim, Phys. Rev. D 59, 047503 (1999)

    Article  ADS  Google Scholar 

  14. G. Cognola, Phys. Rev. D 57, 6292 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  15. G. Cognola, P. Lecca, Phys. Rev. D 57, 1108 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  16. M.H. Lee, J.K. Kim, Phys. Rev. D 54, 3904 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  17. A. Ghosh, P. Mitra, Phys. Rev. Lett 73, 2521 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  18. S.P. Alwis, N. Ohta, Phys. Rev. D 52, 3529 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  19. M.H. Lee, H.C. Kim, J.K. Kim, Phys. Lett. B 388, 487 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. S.N. Solodukhin, Phys. Rev. D 51, 68 (1994)

    Google Scholar 

  21. R. Zhao, S.L. Zhang, Gen. Relativ. Gravit. 36, 2123 (2004)

    Article  MATH  Google Scholar 

  22. S. Q. Wu, M.L. Yan, Phys. Rev. D 69, 044019 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  23. R. Zhao, L.C. Zhang, Int. J. Mod. Phys. D 11, 1381 (2002)

    Article  ADS  MATH  Google Scholar 

  24. L. Jacobson, Phys. Rev. D 50, R6031 (1994)

    Article  ADS  Google Scholar 

  25. X. Li, Phys. Rev. D 65, 084005 (2002)

    Article  MathSciNet  Google Scholar 

  26. K. Ghosh, Phys. Rev. D 67, 124027 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  27. Z. Ren, J.F. Zhang, L.C. Zhang, Nucl. Phys. B 609, 247 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. X. Li, Z. Zhao, Phys. Rev. D 62, 104001 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  29. W.B. Liu, Z. Zhao, Chin. Phys. Lett 18, 310 (2001)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  31. F. Scardigli, Phys. Lett. B 452, 39 (1999)

    Article  ADS  Google Scholar 

  32. S.K. Rama, Phys. Lett. B 519, 103 (2001)

    Article  ADS  MATH  Google Scholar 

  33. L.N. Chang, D. Minic, N. Okamura, T. Takeuchi, Phys. Rev. D 65, 125028 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  34. M.R. Setare, Phys. Rev. D 70, 087501 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  35. K. Nozari, Phys. Lett. B 629, 41 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  36. U. Harbach, S. Hossenfelder, Phys. Lett. B 632, 379 (2006)

    Article  ADS  Google Scholar 

  37. Y. Ling, B. Hu and X. Li, Phys. Rev. D 73, 087702 (2006)

    Article  ADS  Google Scholar 

  38. Y. S. Myung, Y.W. Kim, Y.J. Park, Phys. Lett. B 645, 393 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  39. X. Li, Phys. Lett. B 540, 9 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  40. C.Z. Liu, Int. J. Theor. Phys. 44, 567 (2005)

    Article  MATH  Google Scholar 

  41. X.F. Sun, W.B. Liu, Mod. Phys. Lett. A 19, 677 (2004)

    Article  ADS  MATH  Google Scholar 

  42. W.B. Liu, Y.W. Han, Z. Zhou, Int. J. Mod. Phys. A 18, 2681 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  43. W. Kim, Y.W. Kim, Y.J. Park, Phys. Rev. D 74, 104001 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  44. W. Kim, Y.W. Kim, Y.J. Park, Phys. Rev. D 75, 127501 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  45. M. Yoon, J. Ha, W. Kim, Phys. Rev. D 76, 047501 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  46. S. Sur, S. Das, S. Sengupta, J. High Energy Phys. 0510, 064 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  47. T. Ghosh, S. SenGupta, Phys. Rev. D 78, 024045 (2008)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chunyan Wang.

About this article

Cite this article

Wang, C., Gui, Y. & **ng, L. Entropy of charged dilaton-axion black hole with minimal length revisited. centr.eur.j.phys. 7, 630–637 (2009). https://doi.org/10.2478/s11534-008-0151-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11534-008-0151-9

Keywords

PACS (2008)

Navigation