Skip to main content
SpringerLink
Log in

Dilatonic Entropic Force

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

Abstract

We show in detail that the entropic force of the static spherically symmetric spacetimes with unusual asymptotics can be calculated through the Verlinde’s arguments. We introduce three different holographic screen candidates, which are first employed thoroughly by Myung and Kim [Phys. Rev. D 81, 105012 (2010)] for Schwarzschild black hole solutions, in order to identify the entropic force arising between a charged dilaton black hole and a test particle. The significance of the dilaton parameter on the entropic force is highlighted, and shown graphically.

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. Einstein, A.: Preuss. Akad. Wiss. Berlin, Sitzbr. 2, 778–786 (1915)

    Google Scholar 

  2. Einstein, A.: Preuss. Akad. Wiss. Berlin, Sitzbr. 2, 844–847 (1915)

    Google Scholar 

  3. Verlinde, E.P.: arXiv:1001.0785 [hep-th]

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  6. Hawking, S.W.: Comun. Math. Phys. 43, 199 (1975), Comun. Math. Phys. 46, 206 (1976), Erratum

    Article  ADS  MathSciNet  Google Scholar 

  7. ’t Hooft, G.: arXiv:gr-qc/9310026

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Witten, E.: arXiv:hep-th/0106109

  10. Padmanabhan, T.: arXiv:gr-qc/0606061

  11. Susskind, L., Lindesay, J.: Black Holes, Information and the String Theory Revolution. World Scientific, Singapore (2005)

    MATH  Google Scholar 

  12. Padmanabhan, T.: arXiv:0912.3165 [gr-qc]

  13. Padmanabhan, T.: Class. Quantum Gravity 21, 4485 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Liu, Y.-X., Wang, Y.-Q., Wei, S.-W.: Class. Quantum Gravity 27, 185002 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  15. Wei, H.: Phys. Lett. B 692, 167 (2010)

    Article  ADS  Google Scholar 

  16. Nicolini, P.: Phys. Rev. D 82, 044030 (2010)

    Article  ADS  Google Scholar 

  17. Chan, K.C.K., Horne, J.H., Mann, R.B.: Nucl. Phys. B 447, 441 (1995)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  18. Myung, Y.S., Kim, Y.-W.: Phys. Rev. D 81, 105012 (2010)

    Article  ADS  Google Scholar 

  19. Garfinkle, D., Horowitz, G.T., Strominger, A.: Phys. Rev. D 43, 3140 (1991), Phys. Rev. D 45, 3888 (1992), Erratum

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  21. Brown, J.D., Creighton, J., Mann, R.B.: Phys. Rev. D 50, 6394 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  22. Clément, G., Leygnac, C.: Phys. Rev. D 70, 084018 (2004)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  24. Mäkelä, J.: arXiv:0805.3955 [gr-qc]

  25. Unruh, W.: Phys. Rev. D 14, 870 (1976)

    Article  ADS  Google Scholar 

  26. Unruh, W.: Ann. N.Y. Acad. Sci. 302, 186 (1977)

    Article  ADS  Google Scholar 

  27. Gill, A., Singleton, D., Akhmedova, V., Pilling, T.: Am. J. Phys. 78, 685 (2010)

    Article  ADS  Google Scholar 

  28. Tian, Y., Wu, X.-N.: Phys. Rev. D 81, 104013 (2010)

    Article  ADS  Google Scholar 

  29. Susskind, L., Thorlacius, L., Uglum, J.: Phys. Rev. D 48, 3743 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  30. Kaloper, N., Kleban, M., Lawrence, A., Shenker, S., Susskind, L.: J. High Energy Phys. 11, 037 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  31. Padmanabhan, T.: Class. Quantum Gravity 19, 5387 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  32. Gao, C.: Phys. Rev. D 81, 087306 (2010)

    Article  ADS  Google Scholar 

  33. Kobakhidze, A.: arXiv:1009.5414 [hep-th]

Download references

Author information

Authors and Affiliations

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

    I. Sakalli

Authors
  1. I. Sakalli
    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. Dilatonic Entropic Force. Int J Theor Phys 50, 2426–2437 (2011). https://doi.org/10.1007/s10773-011-0731-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0731-0

Keywords

Search

Navigation