Skip to main content
SpringerLink
Log in

Kerr Black Hole Entropy and its Quantization

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

Abstract

By constructing the four-dimensional phase space based on the observable physical quantity of Kerr black hole and gauge transformation, the Kerr black hole entropy in the phase space was obtained. Then considering the corresponding mechanical quantities as operators and making the operators quantized, entropy spectrum of Kerr black hole was obtained. Our results show that the Kerr black hole has the entropy spectrum with equal intervals, which is in agreement with the idea of Bekenstein. In the limit of large event horizon, the area of the adjacent event horizon of the black hole have equal intervals. The results are in consistent with the results based on the loop quantum gravity theory by Dreyer et al.

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. Hawking, S.W.: Particle creation by black holes. Commun. Math. Phys. 43(3), 199–220 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  2. Bekenstein, J.D. : Black hole entropy. Phys. Rev. D 7(8), 2333–2346 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  3. ’t Hoof, G.: On the quantum structure of a black hole. Nucl. Phys. B 256, 727–745 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  4. Alejandro, C., Jacobo, D.P., Enrique, F.B.: Black hole entropy quantization. Phys. Rev. Lett. 98(18), 181301 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ashtekar, A., Baez, J.C., Corichi, A., Krasnow, K.: Quantum geometry and black hole entropy. Phys. Rev. Lett. 80(5), 904–907 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Li, C.A., Su, J.Q., Jiang, J.J., et al.: The dynamical model and quantization of the schawzschild black hole. Sci. China Ser. G. 51(12), 1861–1867 (2008). (In Chinese)

    Article  Google Scholar 

  7. Dreyer, O.: Quasinormal modes the area spectrum, and black hole entropy. Phys. Rev. Lett. 90(8), 081301 (2003)

    Article  ADS  Google Scholar 

  8. Li, C.A., Jiang, J.J., Su, J.Q.: Loop quantum gravity and black hole entropy. Sci. China Ser. G. 52(8), 1179–1182 (2009). (In Chinese)

    Article  Google Scholar 

  9. Bombelli, L., et al.: Quantum Source of Entropy For Black Hole. Phys. Rev. D. 34(2), 373–383 (1986)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Gour, G., Medved, A.J.M.: Quantum spectrum for a Kerr-Newman black hole. Class. Quant. Grav. 20(9), 1661–1671 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Electronic Engineering, Heze University, Heze, 274015, China

    Ji-Jian Jiang & Chuan-An Li

  2. College of Electronic Science and Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210000, China

    Xie-Feng Cheng

Authors
  1. Ji-Jian Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chuan-An Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xie-Feng Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chuan-An Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, JJ., Li, CA. & Cheng, XF. Kerr Black Hole Entropy and its Quantization. Int J Theor Phys 55, 3746–3751 (2016). https://doi.org/10.1007/s10773-016-3003-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3003-1

Keywords

Search

Navigation