Skip to main content
SpringerLink
Log in

Unruh–Verlinde Temperature and Energy of Charged Black Hole via Entropic Force

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

Abstract

Verlinde’s recent work, which showed that gravity may be explained as entropic force caused by the changes of information associated with the positions of material bodies, is extended to study the Unruh–Verlinde temperature and energy of a static spherically symmetric charged black hole. The results indicate that the Unruh–Verlinde temperature is equal to the Hawking temperature at the outer and inner horizons. The energy is dependent on the radius of the screen, which is also a consequence of the Gauss’ laws of gravity and electrostatics.

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

    Article  ADS  Google Scholar 

  2. Parikh, M.K., Wiclzek, F.: Phys. Rev. Lett. 85, 5042 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  3. Parikh, M.K.: Phys. Lett. B 546, 189 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. Robinson, S.P., Wilczek, F.: Phys. Rev. Lett. 95, 011303 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  5. Zhang, J.Y., Zhao, Z.: Phys. Lett. B 618, 14 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  6. Zhang, J.Y., Zhao, Z.: Nucl. Phys. B 725, 173 (2005)

    Article  MATH  ADS  Google Scholar 

  7. Bertlmann, R.A., Kohlprath, E.: Ann. Phys. 37, 288 (2001)

    MathSciNet  Google Scholar 

  8. Iso, S., Umetsu, H., Wilczek, F.: Phys. Rev. D 74, 044017 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  9. Murata, K., Soda, J.: Phys. Rev. D 74, 044018 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  10. Han, Y.W., Zeng, X.X., Yang, S.Z.: Int. J. Theor. Phys. 47, 2011 (2008)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  13. Verlinde, E.P.: On the origin of gravity and the laws of Newton, arXiv:1001.0785 [hep-th]

  14. Smolin, L.: Newtonian gravity in loop quantum gravity, arXiv:1001.3668 [gr-qc]

  15. Wang, T.: The Coulomb force as an entropic force, arXiv:1001.4965 [hep-th]

  16. Zhang, Y., Gong, Y.G., Zhu, Z.H.: Modified gravity emerging from thermodynamics and holographic principle, arXiv:1001.4677 [hep-th]

  17. Cai, R.G., Cao, L.M., Ohta, N.: Friedmann equations from entropic force. Phys. Rev. D 81, 061501(R) (2010), arXiv:1001.3470 [hep-th]

    ADS  Google Scholar 

  18. Caravelli, F., Modesto, L.: Holographic actions from black hole entropy, arXiv:1001.4364 [gr-qc]

  19. Lee, J.W., Kim, H.C., Lee, J.: Gravity from quantum information, arXiv:1001.5445 [hep-th]

  20. Chan, K.C.K., Mann, R.B.: Phys. Rev. D 50, 6385 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  21. Cataldo, M., Cruzb, N., del Campo, S., Garcia, A.: Phys. Lett. B 484, 154 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Electronic Engineering, Chongqing Technology and Business University, Chongqing, 400067, China

    Yiwen Han & MingJian Lan

  2. College of Computer Science, Chongqing Technology and Business University, Chongqing, 400067, People’s Republic of China

    Yiwen Han

Authors
  1. Yiwen Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. MingJian Lan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yiwen Han.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Han, Y., Lan, M. Unruh–Verlinde Temperature and Energy of Charged Black Hole via Entropic Force. Int J Theor Phys 50, 899–905 (2011). https://doi.org/10.1007/s10773-010-0631-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0631-8

Keywords

Search

Navigation