Skip to main content
SpringerLink
Log in

Some consequences of a spatially varying cosmological constant in a spherically symmetric distribution of matter

  • Published:
Journal of Astrophysics and Astronomy Aims and scope Submit manuscript

Abstract

This paper investigates the effects of the spatial variation of the cosmological constant λ on the spacetime geometry within and outside a massive object. It is seen that the variation of λ with the radial coordinate introduces non-trivial changes leading to spacetime closing on itself around a massive object. It may also be possible to generate interior solutions that lead to flat rotation curves of galaxies

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

  • Einstein, A. 1917 inPreuss. Akad. Wiss. Berlin. Sitzber, p. 142.

  • de Sitter, W. 1917,Proc. Akad. Weteuseh, Amsterdam19, 1217.

    Google Scholar 

  • Friedman, A. 1924,. Phys.,10, 377 (1922) and Z.Phys.,21, 326.

    Article  Google Scholar 

  • Gunn, J., Tinsley, B. M. 1975,Nature,257, 454.

    Article  ADS  Google Scholar 

  • Hoyle, F., Narlikar, J. V. 1963,Proc. Roy. Soc.,A273, 1.

    ADS  MathSciNet  Google Scholar 

  • Hubble, E. P. 1929,Proc. Nat. Acad. Sci., (USA),15, 168.

    Article  ADS  Google Scholar 

  • McCrea, W. H. 1951,Proc. Roy. Soc.,A 562.

  • Peebles, P. J. E., Ratra, B. 1988,Astrophys. J.,325, L17.

    Article  ADS  Google Scholar 

  • Sakharov, A. D. 1968,Doklady Akad. Nauk. SSSR,177, 70 (in translation: 1968, Soviet Phys. Doklady,12, 1040).

    Google Scholar 

  • Wampler, E. J., Burke, W. L. 1988, inNew Ideas in Astronomy, Eds F. Bertola, J. W. Sulentic & B. F. Madore, Cambridge Univ. Press, p. 317.

Download references

Author information

Authors and Affiliations

  1. Inter-University Centre for Astronomy and Astrophysics, Ganeshkhind, Post Bag 4, 411 007, Pune

    J. V. Narlikar

  2. College de France, 3 Rue d’Ulm, F-75331, Paris Cedex 05, France

    J. -C. Pecker

  3. Institut Henri Poincare, 11 Rue P. & M. Curie, F-75005, Paris, France

    J. -P. Vigier

Authors
  1. J. V. Narlikar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. -C. Pecker
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. -P. Vigier
    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

Narlikar, J.V., Pecker, J.C. & Vigier, J.P. Some consequences of a spatially varying cosmological constant in a spherically symmetric distribution of matter. J Astrophys Astron 12, 7–16 (1991). https://doi.org/10.1007/BF02709768

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02709768

Key words

Search

Navigation