Skip to main content
Springer Nature Link
Log in

The nature of singularities in plane symmetric scalar field cosmologies

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

Abstract

The nature of the initial singularity in spatially compact plane symmetric scalar field cosmologies is investigated. It is shown that this singularity is crushing and velocity dominated and that the Kretschmann scalar diverges uniformly as it is approached. The last fact means in particular that a maximal globally hyperbolic spacetime in this class cannot be extended towards the past through a Cauchy horizon. A subclass of these spacetimes is identified for which the singularity is isotropic.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Eardley, D., Smarr, L. (1979).Phys. Rev. D 19, 2239.

    Google Scholar 

  2. Eardley, D., Liang, E. and Sachs, R. (1972).J. Math. Phys. 13, 99.

    Article  Google Scholar 

  3. Goode, S., Wainwright, J. (1985).Class. Quant. Grav. 2, 99.

    Article  Google Scholar 

  4. Tabensky, R., Taub, A. H. (1973).Commun. Math. Phys. 29, 61.

    Article  Google Scholar 

  5. Rendall, A.D. (1994). “Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry”. Preprint IHES/P/94/55, gr-qc/9411011.

  6. Courant, R., Hilbert, D. (1962).Methods of Mathematical Physics (Interscience, New York), vol. 2.

    Google Scholar 

  7. Racke, R. (1992).Lectures on Nonlinear Evolution Equations (Vieweg, Braunschweig).

    Google Scholar 

  8. Taylor, M. (1991).Pseudodifferential Operators and Nonlinear Partial Differential Equations (BirkhÄuser, Boston).

    Google Scholar 

  9. Marsden, J., Tipler, F. (1980).Phys. Rep. 66, 109.

    Article  Google Scholar 

  10. Gerhardt, C. (1983).Commun. Math. Phys. 89, 523.

    Article  Google Scholar 

  11. Bartnik, R. (1984).Commun. Math. Phys. 94, 155.

    Article  Google Scholar 

  12. Letelier, P., Tabensky, R. (1975).J. Math. Phys. 16, 8.

    Article  Google Scholar 

  13. Isenberg, J., Moncrief, V. (1990).Ann. Phys. (NY) 199, 84.

    Article  Google Scholar 

  14. Tod, K. P. (1992).Rend. Sem. Mat. Universitá Politecnico Torino 50, 69.

    Google Scholar 

  15. ChruŚciel, P. T., Isenberg, J. and Moncrief, V. (1990).Class. Quant. Grav. 7, 1671.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Astrophysik, Karl-Schwarzschildstr. 1, Postfach 1523, D-85740, Garching-bei-München, Germany

    Alan D. Rendall

Authors
  1. Alan D. Rendall
    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

Rendall, A.D. The nature of singularities in plane symmetric scalar field cosmologies. Gen Relat Gravit 27, 213–221 (1995). https://doi.org/10.1007/BF02107959

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02107959

Keywords

Search

Navigation