Skip to main content
SpringerLink
Log in

Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation

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

Abstract

It has been shown recently that information is lost in the Hawking radiation of the linear dilaton black holes in various theories when applying the tunneling formalism of Parikh and Wilczek without considering quantum gravity effects. In this paper, we recalculate the emission probability by taking into account the log-area correction to the Bekenstein-Hawking entropy and the statistical correlation between quanta emitted. The crucial role of the quantum gravity effects on the information leakage and black hole remnant is highlighted. The entropy conservation of the linear dilaton black holes is discussed in detail. We also model the remnant as an extreme linear dilaton black hole with a pointlike horizon in order to show that such a remnant cannot radiate and its temperature becomes zero. In summary, we show that the information can also leak out of the linear dilaton black holes together with preserving unitarity in quantum mechanics.

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.: Phys. Rev. D 7, 2333 (1973)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  4. Hawking, S.W.: Commun. Math. Phys. 46, 206 (1976). Erratum

    Article  MathSciNet  ADS  Google Scholar 

  5. Page, D.N.: arXiv:hep-th/9305040

  6. Preskill, J.: arXiv:hep-th/9209058

  7. Hawking, S.W.: Phys. Rev. D 72, 084013 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  8. Israel, W., Yun, Z.: Phys. Rev. D 82, 124036 (2010)

    Article  ADS  Google Scholar 

  9. Berezin, V.A., Boyarsky, A., Neronov, A.Yu.: Gravit. Cosmol. 5, 16 (1999)

    MathSciNet  ADS  MATH  Google Scholar 

  10. Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 024007 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  12. Zhang, J., Zhao, Z.: J. High Energy Phys. 10, 055 (2005)

    Article  ADS  Google Scholar 

  13. Mazharimousavi, S.H., Sakalli, I., Halilsoy, M.: Phys. Lett. B 672, 177 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  14. Pasaoglu, H., Sakalli, I.: Int. J. Theor. Phys. 48, 3415 (2009)

    Article  MathSciNet  Google Scholar 

  15. Boyarsky, A., Neronov, A., Tkachev, I.: Phys. Rev. Lett. 95, 091301 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  16. Angheben, M., Nadalimi, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 0505, 037 (2005)

    Google Scholar 

  17. Akhmedov, E.T., Akhmedova, V.A., Singleton, D.: Phys. Lett. B 642, 124 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  18. Kerner, R., Mann, R.B.: Phys. Rev. D 73, 104010 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  19. Mitra, P.: Phys. Lett. B 648, 240 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  20. Akhmedov, E.T., Pilling, T., Singleton, D.: Int. J. Mod. Phys. D 17, 2453 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Banerjee, R., Majhi, B.R., Samanta, S.: Phys. Lett. B 662, 62 (2008)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  23. Banerjee, R., Majhi, B.R.: Phys. Rev. D 79, 064024 (2009)

    Article  ADS  Google Scholar 

  24. Banerjee, R., Majhi, B.R.: Phys. Lett. B 675, 243 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  25. Cai, R.G., Cao, L.M., Hu, Y.P.: Class. Quantum Gravity 26, 155018 (2009)

    Article  ADS  Google Scholar 

  26. Zhang, B., Cai, Q.Y., You, L., Zhan, M.S.: Phys. Lett. B 675, 98 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  27. Zhang, B., Cai, Q.Y., Zhan, M.S., You, L.: Ann. Phys. 326, 350 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. Chen, Y.X., Shao, K.N.: Phys. Lett. B 678, 131 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  29. Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B 632, 547 (2006)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  31. Banerjee, R., Ghosh, S.: Phys. Lett. B 688, 224 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  32. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge Univ. Press, Cambridge (2000)

    MATH  Google Scholar 

  33. Nozari, K., Mehdipour, S.H.: Class. Quantum Gravity 25, 175015 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  34. Bekenstein, J.D.: Phys. Rev. D 23, 287 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  35. Bekenstein, J.D.: Phys. Rev. D 49, 1912 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  36. Brown, J.D., York, J.W.: Phys. Rev. D 47, 1407 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  37. Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403 (1995)

    Article  ADS  Google Scholar 

  38. Zhang, B., Cai, Q.Y., Zhan, M.S.: Phys. Lett. B 665, 260 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  39. Banerjee, R., Majhi, B.R.: J. High Energy Phys. 0806, 095 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  40. Rovelli, C.: Phys. Rev. Lett. 77, 3288 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. Strominger, A., Vafa, C.: Phys. Lett. B 379, 99 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  42. Solodukhin, C.: Phys. Rev. D 57, 2410 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  43. Ashtekar, A., Baez, J., Corichi, A., Krasnov, K.: Phys. Rev. Lett. 80, 904 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  44. Kaul, R.K., Majumdar, P.: Phys. Rev. Lett. 84, 5255 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  45. Arzano, M., Medved, A.J.M., Vagenas, E.C.: J. High Energy Phys. 0509, 037 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  46. Meissner, K.A.: Class. Quantum Gravity 21, 5245 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  47. Freund, J.A., Pöschel, T.: Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics. Springer, Berlin (2000)

    Book  Google Scholar 

  48. Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)

    MATH  Google Scholar 

  49. Mazharimousavi, S.H., Halilsoy, M., Sakalli, I., Gurtug, O.: Class. Quantum Gravity 27, 105005 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  50. Clément, G., Gal’tsov, D., Leygnac, C.: Phys. Rev. D 67, 024012 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  51. Clément, G., Fabris, J.C., Marques, G.T.: Phys. Lett. B 651, 54 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  52. Du, D.P., Wang, B.: Phys. Rev. D 70, 064024 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  53. Xiang, L., Wen, X.Q.: J. High Energy Phys. 0910, 046 (2009)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Eastern Mediterranean University, G. Magusa, Mersin-10, North Cyprus, Turkey

    I. Sakalli, M. Halilsoy & H. Pasaoglu

Authors
  1. I. Sakalli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Halilsoy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Pasaoglu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. Sakalli.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sakalli, I., Halilsoy, M. & Pasaoglu, H. Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation. Int J Theor Phys 50, 3212–3224 (2011). https://doi.org/10.1007/s10773-011-0824-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0824-9

Keywords

Search

Navigation