Skip to main content
SpringerLink
Log in

Vacuum energy and inertial dragging

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

Abstract

We investigate if there is any inertial dragging effect associated with vacuum energy. Spacetime inside and outside a rotating thin shell, as well as the mechanical properties of the shell, are analyzed by means of Israel's general relativistic theory of surface layers. Our investigation generalizes that of Brill and Cohen, who found vacuum-solutions of Einstein's field equations (with vanishing cosmological constant), inside and outside a rotating shell. We include a nonvanishing vacuum-energy inside the shell. It is found that the inertial dragging angular velocity increases with increasing density of vacuum energy.

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. GrØn, Ø., and Soleng, H. H. (1987).Nature 328, 501.

    Google Scholar 

  2. Thirring, H., and Lense, J. (1918).Phys. Zeitschr. 19, 156.

    Google Scholar 

  3. Brill, D. R., and Cohen, J. M. (1966).Phys. Rev. 143, 1011.

    Google Scholar 

  4. Cohen, J. M., and Brill, D. R. (1968).Nuovo Cimento B 56, 209.

    Google Scholar 

  5. Olive, K. A. (1990).Phys. Rep. 190, 307. Further references on inflationary cosmology are found in this article.

    Google Scholar 

  6. Gottlöber, S., et al. (1992).Int. J. Mod. Phys. D 1, 257.

    Google Scholar 

  7. GrØn, Ø. (1986).Amer. J. Phys. 54, 46.

    Google Scholar 

  8. Cohen, J. M., and Cohen, M. D. (1969).Nuovo Cimento 60, 241.

    Google Scholar 

  9. GrØn, Ø. (1985).Phys. Rev. D 31, 2129.

    Google Scholar 

  10. Blau, S. K., Guendelman, E. I., and Guth, A. H. (1987).Phys. Rev. D 35, 1747.

    Google Scholar 

  11. Sato, H. (1986).Prog. Theor. Phys. 76, 1250.

    Google Scholar 

  12. Letelier, P., and Wang, A. (1993).Phys. Rev. D 48, 631.

    Google Scholar 

  13. Israel, W. (1966).Nuovo Cimento B 44, 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Engineering, Oslo College, Cort Adelers gt 30, 0254, Oslo, Norway

    Ivar Farup & Øyvind GrØn

  2. Institute of Physics, University of Oslo, Blindern, P.O.Box 1048, 0316, Oslo, Norway

    Øyvind GrØn

Authors
  1. Ivar Farup
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Øyvind GrØn
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farup, I., GrØn, Ø. Vacuum energy and inertial dragging. Gen Relat Gravit 28, 441–449 (1996). https://doi.org/10.1007/BF02105086

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02105086

Keywords

Search

Navigation