Skip to main content
Log in

On an approximate description of string andp-brane dynamics in curved space-time

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

A new formulation for the action of the Nambu-Goto string moving in curved space-time is studied. The action contains a two-dimensional “cosmological” world-sheet term multiplied by a tension parameter. It is shown that when treating this cosmological term as a perturbation, nonlinear equations for the string can be linearized. It is argued that in the zeroth-order approximation with respect to the tension, strings and membranes can be considered as dominant gravitation sources for the Friedmann universe with κ=0.

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.

Similar content being viewed by others

References

  1. G. Veneziano, “Status of string cosmology,” in:String Gravity and Physics at the Planck Scale. Proceedings of the Erice Course (N. Sanchez and A. Zichichi, eds.), NATO ASI (1996).

  2. M. Gasperini and G. Veneziano,Phys. Rev. D,50, 2519 (1994).

    Article  ADS  Google Scholar 

  3. N. Sanchez and G. Veneziano,Nucl. Phys. B,333, 253 (1990).

    Article  ADS  Google Scholar 

  4. M. Gasperini, N. Sanchez, and G. Veneziano,Nucl. Phys. B,364, 653 (1991); CERN Preprints TH. 5893/91; TH. 5010/91.

    Article  MathSciNet  Google Scholar 

  5. H. J. de Vega and N. Sanchez,Phys. Lett. B,197, 320 (1987);Nucl. Phys. B,309, 552 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  6. N. Sanchez, “String quantum gravity. String theory in curved space,” in:String Gravity and Physics at the Planck Scale. Proceedings of the Erice Course (N. Sanchez and A. Zichichi, eds.), NATO ASI (1996).

  7. H. J. de Vega, “String theory in curved space,” in:String Gravity and Physics at the Planck Scale. Proceedings of the Erice Course (N. Sanchez and A. Zichichi, eds.), NATO ASI (1996).

  8. A. Shild,Phys. Rev. D,16, 1722 (1977).

    Article  ADS  Google Scholar 

  9. A. Karlhede and O. Lindstrom,Class. Quantum Gravit.,3, 73 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  10. A. A. Zheltukhin,JETP Lett.,46, 262 (1987);Sov. J. Nucl. Phys.,48, 375 (1988).

    ADS  MathSciNet  Google Scholar 

  11. A. A. Zheltukhin,Sov. J. Nucl. Phys.,51, 950 (1990)

    MathSciNet  Google Scholar 

  12. A. A. Zheltukhin,Nucl. Phys. B,364, 265 (1991).

    Google Scholar 

  13. M. Green, J. Schwarz, and E. Witten,Superstring Theory, Vol. I, Cambridge Univ., Cambridge (1987).

    Google Scholar 

  14. I. A. Bandos and A. A. Zheltukhin,Fortschr. Phys.,41, 619 (1993).

    MathSciNet  Google Scholar 

  15. A. Z. Petrov,Einstein Spaces, Pergamon, New York (1969).

    MATH  Google Scholar 

  16. J. H. Schwarz, “Lectures in superstring andM-theory dualities,” hep-th/9607201.

  17. J. Polchinski, S. Chaudhuri, and C. V. Johnson, “Notes onD-branes,” hep-th/9602052.

  18. E. Witten, “Small instantons in string theory,” hep-th/954030.

  19. A. Strominger, “Openp-branes,” hep-th/9512059.

  20. M. Bershadsky, C. Vafa, and V. Sadov, “D-strings onD-manifolds,” Preprint HUTP-95/A035, Harvard Univ.

  21. A. Hanany and I. Klebanov, “On tensionless strings in (3 + 1)-dimensions,” hep-th/9606136.

  22. S. Kar,Phys. Rev. D,53, 6842 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  23. M. P. Dabrowski and A. L. Larsen, “Null strings in Schwarzschild spacetime,” hep-th/9610243.

  24. S. N. Roshchupkin and A. A. Zheltukhin,Class. Quantum Gravit.,12, 2529 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  25. H. J. de Vega and A. Nicolaidis,Phys. Lett. B,295, 214 (1992).

    Article  ADS  Google Scholar 

  26. C. O. Lousto and N. Sanchez,Phys. Rev. D,54, 6399 (1996).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 3, pp. 402–412, June, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zheltukhin, A.A., Roshchupkin, S.N. On an approximate description of string andp-brane dynamics in curved space-time. Theor Math Phys 111, 714–722 (1997). https://doi.org/10.1007/BF02634059

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02634059

Keywords

Navigation