Skip to main content
Log in

Creation of a time-machine in (2+1)-dimensional gravity

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

Abstract

A non-stationary model of two concentric counter-rotating layers is constructed in (2+1)-dimensional Einstein theory. It is shown that the model which satisfies both the weak and the dominant energy conditions, may evolve from a state with no closed time-like curves to a state where such curves are present in a finite region of space. No singularities are formed in the process.

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. Morris, M. S., Thorne, K. S., and Yurtsever, U. (1988).Phys. Rev. D 61, 1446.

    Google Scholar 

  2. Novikov, I. D. (1989).Sov. Phys. JETP 68, 439.

    Google Scholar 

  3. Friedman, J., Morris, M. S., Novikov, I. D., Echeverria, F., Klinkhammer, G., Thorne, K. S. and Yurtsever, U. (1990).Phys. Rev. D 42, 1915.

    Google Scholar 

  4. Lanczos, K. (1924).Zeitschr. für Phys. 21, 73.

    Google Scholar 

  5. van Stockum, W. J. (1937).Proc. Roy. Soc. Edinburgh 57, 135.

    Google Scholar 

  6. Bonnor, W. B. (1980).J. Phys. A: Math. Gen. 13, 2121.

    Google Scholar 

  7. Gödel, K. (1949).Rev. Mod. Phys. 21, 447.

    Google Scholar 

  8. Kerr, R. P. (1963).Phys. Rev. Lett. 11, 237.

    Google Scholar 

  9. Carter, B. (1968).Phys. Rev. 174, 1559.

    Google Scholar 

  10. Deser, S., Jackiw, R., and Hooft, G. (1984).Ann. Phys. (NY) 152, 220.

    Google Scholar 

  11. Mazur, P. O. (1986).Phys. Rev. Lett. 57, 929.

    Google Scholar 

  12. Soleng, H. H. (1992).Gen. Rel. Grav. 24, 111.

    Google Scholar 

  13. Jensen, B., and Soleng, H. H. (1992).Phys. Rev. D 45, 2538.

    Google Scholar 

  14. Gott III R. J., and Alpert, M. (1984).Gen. Rel. Grav. 16, 243.

    Google Scholar 

  15. Gott III R. J. (1985).Astrophys. J. 288, 422.

    Google Scholar 

  16. Linet, B. (1985).Gen. Rel. Grav. 17, 1109.

    Google Scholar 

  17. Hiscock, W. A. (1985).Phys. Rev. D 31, 3288.

    Google Scholar 

  18. Deser, S., Jackiw, R., and Hooft, G. (1992).Phys. Rev. Lett. 68, 267.

    Google Scholar 

  19. Hiscock, W. A. (1987).Phys. Lett. B 188, 317.

    Google Scholar 

  20. Grøn, Ø. and Soleng, H. H. (1992).Class. Quant. Grav. 9, 1231.

    Google Scholar 

  21. Hawking, S. W. (1992). “The Chronology Protection Conjecture,”Phys. Rev. D, to appear.

  22. Kim, S.-W., and Thorne, K. S. (1991).Phys. Rev. D 43, 3929.

    Google Scholar 

  23. Tipler, F. J. (1976).Phys. Rev. Lett. 37, 879.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soleng, H.H. Creation of a time-machine in (2+1)-dimensional gravity. Gen Relat Gravit 24, 1131–1141 (1992). https://doi.org/10.1007/BF00756989

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00756989

Keywords

Navigation