Skip to main content
SpringerLink
Log in

Modified Black Hole Thermodynamics with Generalized Uncertainty Principle

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

Abstract

In this paper we propose a way of determining the subleading corrections to the Bekenstein-Hawking black hole entropy by considering a modified generalized uncertainty principle with two parameters. In the context of modified generalized uncertainty principle, coefficients of the correction terms of black hole entropy are written in terms of combination of the parameters. We also obtained the corrections to the Stefan-Boltzman law and the black hole evaporation in terms of the parameters. By estimating those parameters, say by experiment, one can test results from other context of quantum gravity theories such as black hole entropy.

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

Similar content being viewed by others

References

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

    Article  Google Scholar 

  2. Bekenstein, J.D.: Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. ’t Hooft, G.: Dimensional reduction in quantum gravity (1993). arXiv:gr-qc/9310026

  5. Susskind, L.: J. Math. Phys. 36, 6377 (1995)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. Setare, M.R.: Eur. Phys. J. C 33, 555 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  7. Meissner, K.A.: Class. Quant. Grav. 21, 5245 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Solodukhin, S.N.: Phys. Rev. D 57, 2410 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  9. Horava, P.: Phys. Rev. D 79, 084008 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  10. Castillo, A., Larranaga, A.: arXiv:0906.4380 [gr-qc]

  11. Veneziano, G.: Europhys. Lett. 2, 199 (1986)

    Article  ADS  Google Scholar 

  12. Gross, D.J., Mende, P.F.: Nucl. Phys. B 303, 407 (1988)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  15. Adler, R.J., Santiago, D.I.: Mod. Phys. Lett. A 14, 1371 (1999)

    Article  ADS  Google Scholar 

  16. Ohanian, H., Ruffini, R.: Gravitation and Spacetime, 2nd edn. Norton, New York (1994)

    MATH  Google Scholar 

  17. Adler, R.J., Chen, P., Santiago, D.I.: Gen. Relativ. Gravit. 33, 2101 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  18. Medved, A.J.M., Vagenas, E.C.: Phys. Rev. D 70, 124021 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  19. Myung, Y.S.: Phys. Lett. B 678, 127 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  20. Myung, Y.S.: arXiv:0908.4132 [hep-th]

  21. Benczik, S., Chang, L.N., Minic, D., Takeuchi, T.: Phys. Rev. A 72, 012104 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. Das, S., Vagenas, E.C.: Can. J. Phys. 87, 233 (2009)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  25. Kim, W., Son, E.J., Yoon, M.: J. High Energy Phys. 0801, 035 (2008)

    Article  MathSciNet  Google Scholar 

  26. Kim, W., Oh, J.J.: J. High Energy Phys. 0801, 034 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  27. Dehghani, M., Farmany, A.: Phys. Lett. B 675, 460 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  28. Amelino-Camelia, G., Arzano, M., Ling, Y., Mandanici, G.: Class. Quantum. Gravity 23, 2585 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  29. Berestetskii, V., Lifshitz, E., Pitaevskii, L.: Quantum Electrodynamics, 2nd edn. Pergamon, Elmsford (1983)

    Google Scholar 

  30. Christodoulou, D.: Phys. Rev. Lett. 25, 1596 (1970)

    Article  ADS  Google Scholar 

  31. Hod, S.: Phys. Rev. Lett. 81, 4293 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  32. Hod, S.: Phys. Rev. D 61, 024023 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  33. Adler, R.J., Das, T.K.: Phys. Rev. D 14, 2474 (1976)

    Article  ADS  Google Scholar 

  34. Nozari, K., Sefiedgar, A.S.: Phys. Lett. B 635, 156 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  35. Dabholkar, A., Denef, F., Moore, G.W., Pioline, B.: J. High Energy Phys. 10, 096 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  36. Maggiore, M.: Phys. Lett. B 319, 83 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  37. Maggiore, M.: Phys. Rev. D 49, 5182 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  38. Nam, S., Park, H., Seo, Y.: J. Korean Phys. Soc. 42, 467 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Research Institute for Basic Sciences, Kyung Hee University, Seoul, 130-701, South Korea

    Yumi Ko, Sunggeun Lee & Soonkeon Nam

Authors
  1. Yumi Ko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sunggeun Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Soonkeon Nam
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Soonkeon Nam.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ko, Y., Lee, S. & Nam, S. Modified Black Hole Thermodynamics with Generalized Uncertainty Principle. Int J Theor Phys 49, 1384–1395 (2010). https://doi.org/10.1007/s10773-010-0318-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0318-1

Keywords

Search

Navigation