Skip to main content
Log in

A scalar polynomial singularity without an event horizon

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

Abstract

It is shown that the solution of the field equations for a static spherically symmetric scalar field has a scalar polynomial singularity and no event horizon. The solution does not develop from nonsingular data on any Cauchy surface. The possible existence of a universal scalar field, the conformal diagram and geodesies of the solution, and the energy and momentum of the field present are discussed.

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. Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge).

    Google Scholar 

  2. Penrose, R. (1969).Rev. Nuovo Cimento, Ser. 1, Num. Spec. 252.

  3. Wyman, M. (1981).Phys. Rev. D,24(4), 839.

    Google Scholar 

  4. Yilmaz, H. (1958).Phys. Rev.,111, 1417.

    Google Scholar 

  5. Szekeres, G. (1955).Phys. Rev.,97, 212.

    Google Scholar 

  6. Buchdahl, H. A. (1959).Phys. Rev.,115, 1325.

    Google Scholar 

  7. Bergman, O., and Leipnik, L. (1957).Phys. Rev.,107, 1157.

    Google Scholar 

  8. Agnese, A. G., and LaCamera, M. (1982).Lett. Nuovo Cimento,35(11), 365.

    Google Scholar 

  9. Will, C. M. (1979). InGeneral Relativity, an Einstein Centenary Survey, Hawking, S. W. and Israel, eds. (Cambridge University Press, Cambridge), Chap. 2.

    Google Scholar 

  10. Duriusseau, J. P. (1983).Gen. Rel. Grav.,15(4), 285.

    Google Scholar 

  11. Zel'dovich, Ba. Y. (1967).Sov. Phys. JETP. Lett.,6, 316.

    Google Scholar 

  12. Roberts, M. D. (1984).Lett. Nuovo Cimento,40, 182.

    Google Scholar 

  13. Hawking, S. W. (1975).Commun. Math. Phys.,43, 199.

    Google Scholar 

  14. Chang, D. B., and Johnson, H. H. (1980).Phys. Lett.,77A(6), 411.

    Google Scholar 

  15. Ross, D. K. (1972).Nuovo Cimento,8A, 603.

    Google Scholar 

  16. Nagy, K. L. (1977).Acta Phys. Acad. Sci. Hung.,43(1), 93.

    Google Scholar 

  17. Froyland, J. (1982).Phys. Rev. D,25, 1470.

    Google Scholar 

  18. Agnese, A. G., and LaCamera, M. (1985).Phys. Rev. D,31, 1280.

    Google Scholar 

  19. Takeno, H. (1963).The Theory of Spherically Symmetric Space-time (Daigaku, Hiroshima).

    Google Scholar 

  20. Chandrasekhar, S. (1963).The Mathematical Theory of Black Holes (Cambridge University Press, Cambridge).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roberts, M.D. A scalar polynomial singularity without an event horizon. Gen Relat Gravit 17, 913–926 (1985). https://doi.org/10.1007/BF00773829

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00773829

Keywords

Navigation