Skip to main content
SpringerLink
Log in

Regularizing tunnelling calculations of Hawking temperature

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

Attempts to understand Hawking radiation as tunnelling across a black hole horizon require the consideration of singular integrals. Although Schwarzschild coordinates lead to the standard Hawking temperature, isotropic radial coordinates may appear to produce an incorrect value. It is demonstrated here how the proper regularization of singular integrals leads to the standard temperature for the isotropic radial coordinates as well as for other smooth transformations of the radial variable, which of course describe the same black hole.

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  3. Damour T., Ruffini R.: Phys. Rev. D 14, 332 (1976)

    Article  ADS  Google Scholar 

  4. Srinivasan K., Padmanabhan T.: Phys. Rev. D 60, 24007 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  6. Nadalini M., Vanzo L., Zerbini S.: J. Phys. A 39, 6601 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  10. Chatterjee B., Ghosh A., Mitra P.: Phys. Lett. B 661, 307 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  11. Ding C., Jing J.: Class. Quant. Gravit. 27, 035004 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  12. Vanzo L., Acquaviva G., Di Criscienzo R.: Class. Quant. Gravit. 28, 18300 (2011)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saha Institute of Nuclear Physics, Block AF, Bidhannagar, Calcutta, 700 064, India

    Bhramar Chatterjee & P. Mitra

Authors
  1. Bhramar Chatterjee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Mitra
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Mitra.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chatterjee, B., Mitra, P. Regularizing tunnelling calculations of Hawking temperature. Gen Relativ Gravit 44, 2365–2371 (2012). https://doi.org/10.1007/s10714-012-1396-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-012-1396-6

Keywords

Search

Navigation