Skip to main content
SpringerLink
Log in

Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state

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

Abstract

We present the class of Petrov-typeN, shear-free, perfect-fluid solutions of Einstein's field equations in which the fluid satisfies a barotropic equation of statep=p(w) andw+p≢0. All solutions are stationary and possess a three- parameter, abelian group of local isometries which act simply transitively on timelike hypersurfaces. Furthermore, there exists one Killing vector parallel to the vorticity vector and another parallel to the four-velocity. This class of solutions is identified as part of a larger class present in the literature.

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. Carminati, J. (1987).J. Math. Phys.,28, 1848.

    Google Scholar 

  2. Collins, C. B. (1986).Can. J. Phys.,64, 191.

    Google Scholar 

  3. Lang, J. M., and Collins, C. B. (1987). “Observationally Homogeneous, Shear-Free Perfect Fluids,” preprint (University of Waterloo, Ontario, Canada).

    Google Scholar 

  4. Collins, C. B. (1987). “Homogeneous and Hypersurface-Homogeneous, Shear-Free Perfect Fluids in General Relativity,” preprint (University of Waterloo, Ontario, Canada).

    Google Scholar 

  5. Krasinski, A. (1978).Rep. Math. Phys.,14, 225.

    Google Scholar 

  6. Newman, E. T., and Penrose, R. (1962).J. Math. Phys.,3, 566.

    Google Scholar 

  7. Flanders, H. (1963).Differential Forms with Applications to the Physical Sciences (Academic Press, New York).

    Google Scholar 

  8. Kramer, D., Stephani, H., MacCallum, M., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge, England).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical and Physical Sciences, Murdoch University, Murdoch, Western Australia, Australia

    J. Carminati

Authors
  1. J. Carminati
    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

Carminati, J. Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. Gen Relat Gravit 20, 1239–1248 (1988). https://doi.org/10.1007/BF00756051

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00756051

Keywords

Search

Navigation