Skip to main content
Log in

LETTER: String Motion in Curved Space and the Bianchi Identity

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

Abstract

It is shown that the motion of a string in the field of a massive object can be derived from the Bianchi identities using the method of Papapetrou. The time average equation of motion is that of point geodesic only at lowest order, and the method may be extended to obtain structure dependent, non-geodesic motion.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. Aragone, C., and Deser, S. (1975). Nucl. Phys. B 92, 327.

    Google Scholar 

  2. Gürses, M., and Gürsey, F. (1975). Phys. Rev. D 11, 967.

    Google Scholar 

  3. Vilenkin, A., and Shellard, E. P. S. (1994). Cosmic Strings and other Topological Defects (Cambridge University Press, Cambridge).

    Google Scholar 

  4. De Villiers, J.-P., and Frolov, V. (1998). Phys. Rev. D 58, 105018.

    Google Scholar 

  5. Carter, B. (1995). In Lecture in Formation and Interactions of Topological Defects, NATO ASI B 349, (eds. A.-C. Davis and R. Brandenberger, Plenum, New York), pp. 303–348, or hepth /9611054.

    Google Scholar 

  6. Page, D. N. (1998). Phys. Rev. D 58, 105026.

    Google Scholar 

  7. Anderson, M., Bonjour, F., Gregory, R., and Stewart, J. (1997). Phys. Rev. D 56, 8014.

    Google Scholar 

  8. Garfinkle, D., and Will, C. M. (1987). Phys. Rev. D 35, 1124.

    Google Scholar 

  9. Vilenkin, A., and Vachaspati, T. (1987). Phys. Rev. Lett. 58, 1041.

    Google Scholar 

  10. Copeland, E., Hindmarsh, M., and Turok, N. (1987). Phys. Rev. Lett. 58, 1910.

    Google Scholar 

  11. Vilenkin, A. (1990). Phys. Rev. D 41, 3038.

    Google Scholar 

  12. Horowitz, G. T., and Polchinski, J. (1998). Phys. Rev. D 57, 2557.

    Google Scholar 

  13. Gregory, R., and Santos, C. (1997). Phys. Rev. D 56, 1194.

    Google Scholar 

  14. Papapetrou, A. (1948). Proc. Roy. Soc. Lond. A 209, 248.

    Google Scholar 

  15. Hammond, R. T. (1999). Gen. Rel. Grav. 31, 233.

    Google Scholar 

  16. Hammond, R. T. (1995). Phys. Rev. D 52, 6918.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hammond, R.T. LETTER: String Motion in Curved Space and the Bianchi Identity. General Relativity and Gravitation 33, 1897–1904 (2001). https://doi.org/10.1023/A:1013039604199

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013039604199

Navigation