SpringerLink
Log in

Absorption of a Massive Scalar Field by Wormhole Space-Times

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

Abstract

In this paper we consider the problem of the test massive scalar field propagating in the background of a class of wormhole space-times. Basing on the quantum scattering theory, we analyze the Schrödinger-type scalar wave equation and compute transmission coefficients for arbitrary coupling of the field to the background geometry with the WKB approximation. We numerically investigate its absorption cross section and analyze them in the high frequency regime. We find that the absorption cross section oscillates about the geometric optical value and the limit of absorption cross section is uniform in the high frequency regime.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Einstein, A., Rosen, N.: Phys. Rev. 48, 73 (1935)

    Article  ADS  Google Scholar 

  2. Wheeler, J.A.: Geometrodynamics. Academic, New York (1962)

    MATH  Google Scholar 

  3. Morris, M.S., Thorne, K.S.: Am. J. Phys. 56, 395 (1988)

    Article  ADS  Google Scholar 

  4. Anabalon, A., Cisterna, A.: Phys. Rev. D 85, 084035 (2012)

    Article  ADS  Google Scholar 

  5. Dias, G.A.S., Lemos, J.P.S.: Phys. Rev. D 82, 084023 (2010)

    Article  ADS  Google Scholar 

  6. Balakin, A.B., Lemos, J.P.S., Zayats, A.E.: Phys. Rev. D 81, 084015 (2010)

    Article  ADS  Google Scholar 

  7. Bertolami, O., Ferreira, R.Z.: Phys. Rev. D 85, 104050 (2012)

    Article  ADS  Google Scholar 

  8. Darabi, F.: Can. J. Phys. 90, 461 (2012)

    Article  ADS  Google Scholar 

  9. Sajadi, S.N., Riazi, N.: Prog. Theor. Phys. 126, 753 (2011)

    Article  ADS  Google Scholar 

  10. Lobo, F.S.N.: Phys. Rev. D 75, 064027 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  11. Correa, D.H., Oliva, J., Troncoso, R.: JHEP, 081 (2008)

  12. Bronnikov, K.A., Kim, S.W.: Phys. Rev. D 67, 064027 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  13. Chen, J.H., Liao, H., Wang, Y.J.: Phys. Lett. B 705, 124 (2011)

    Article  ADS  Google Scholar 

  14. Chen, J.H., Liao, H., Wang, Y.J.: Eur. Phys. J. C 73, 2395 (2013)

    Article  ADS  Google Scholar 

  15. Huang, H., Wang, Y.J., Chen, J.H.: Int. J. Theor. Phys. 53, 249 (2014)

    Article  Google Scholar 

  16. Huang, H., Jiang, M.J., Chen, J.H., Wang, Y.J.: Gen. Rel. Grav. 47, 8 (2015)

    Article  ADS  Google Scholar 

  17. Huang, H., Liao, P., Chen, J.H., Wang, Y.J.: Journal of Gravity 23, 1727 (2014)

    Google Scholar 

  18. Huang, H., Wang, Y.J., Chen, J.H.: Chin. Phys. B 22, 070401 (2013)

    Article  ADS  Google Scholar 

  19. Frolov, V.P., Shoom, A.A.: Phys. Rev. D 86, 024010 (2012)

    Article  ADS  Google Scholar 

  20. Kobayashi, T., Tomimatsu, A.: Phys. Rev. D 82, 084026 (2010)

    Article  ADS  Google Scholar 

  21. Sánchez, N.: Phys. Rev. D 16, 937 (1977)

    Article  ADS  Google Scholar 

  22. Sánchez, N.: Phys. Rev. D 18, 1030 (1978)

    Article  ADS  Google Scholar 

  23. Doran, C., Lasenby, A., Dolan, Sam, Hinder, I.: Phys. Rev. D 71, 124020 (2005)

    Article  ADS  Google Scholar 

  24. Crispino, L.C.B., Ednilton, D.O., Higuchi, A., Matsas, G.E.A.: Phys. Rev. D 75, 104012 (2007)

    Article  ADS  Google Scholar 

  25. Oliveira, E.S., Dolan, S.R., Crispino, L.C.B.: Phys. Rev. D 81, 124013 (2010)

    Article  ADS  Google Scholar 

  26. Crispino, L.C.B., Ednilton, S.O.: Phys. Rev. D 78, 024011 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  27. Aad, G., et al.: Phys. Lett. B 716, 1 (2012)

    Article  ADS  Google Scholar 

  28. Macedo, C.F., Pani, P., Cardoso, V., Crispino, L.C.: Astrophys. J. 774, 48 (2013)

    Article  ADS  Google Scholar 

  29. Benone, C.L., de Oliveira, E.S., Dolan, S.R., Crispino1, L.C.B.: Phys. Rev. D 89, 104053 (2014)

  30. Müller, T.: Phys. Rev. D 77, 044043 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  31. Peter, T.: ar**v:1404.7210[gr-qc] (2014)

  32. Will, C.M., Guinn, J.W.: Phys. Rev. D 37, 3674 (1988)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This project is supported by the High-level Scientific Research Foundation for the introduction of talent (Grant No. 20160375114, 20160375115) and Science and Technology Talents Plan of the department of education of Guizhou province (KY[2016]090).

Author information

Authors and Affiliations

  1. College of Mechanical Engineering, Guiyang University, Guiyang, Guizhou, 550005, People’s Republic of China

    Hai Huang & Yao **

  2. College of Physics and Information Science, Hunan Normal University, Changsha, Hunan, 410081, People’s Republic of China

    Juhua Chen & Yongjiu Wang

Authors
  1. Hai Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Juhua Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yongjiu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yao **
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hai Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, H., Chen, J., Wang, Y. et al. Absorption of a Massive Scalar Field by Wormhole Space-Times. Int J Theor Phys 56, 1150–1158 (2017). https://doi.org/10.1007/s10773-016-3259-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3259-5

Keywords

Search

Navigation