Skip to main content
SpringerLink
Log in

Space-times admitting Penrose-Floyd tensors

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

Abstract

We present the full integrability conditions for the Penrose-Floyd equation. Then we proceed to the integration of the Einstein equations under the assumption of the existence of a Penrose-Floyd tensor and we find all space-times admitting such a tensor.

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. Yano, K. (1952).Ann. Math.,55, 328–347.

    Google Scholar 

  2. Penrose, R. (1973).Ann. N. Y. Acad. Sci.,224, 125.

    Google Scholar 

  3. Carter, B., and McLenaghan, R. G. (1979).Phys. Rev.,19(4), 1093.

    Google Scholar 

  4. Stephani, H. (1978).Gen. Rel. Grav.,9(9), 789.

    Google Scholar 

  5. Cahen, M., Debever, R., and Defrise, L. (1967).J. Math. Mech.,16(7), 761.

    Google Scholar 

  6. Debever, R., McLenaghan, R. G., and Tariq, N. (1979).Gen. Rel. Grav.,10(10), 853.

    Google Scholar 

  7. Debever, R., and McLenaghan, R. G. (1981).J. Math. Phys.,22(8), 1711.

    Google Scholar 

  8. Collinson, C. D. (1974).Tensor, N.S.,28, 173.

    Google Scholar 

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

    Google Scholar 

  10. McLenaghan, R. G., and Spindel, Ph. (1979).Bull. Soc. Math. Belgique,XXXI, 65.

    Google Scholar 

  11. Tachibana, S., and Kashiwada, T. (1969).J. Math. Soc. Japan,21(2), 259.

    Google Scholar 

  12. Debever, R. (1964).Le rayonnement gravitationnel, Univ. Libre de Bruxelles.

  13. Robinson, I., and Schild, A. (1962).J. Math. Phys.,4, 484.

    Google Scholar 

  14. Carter, B. (1968).Commun. Math. Phys.,10, 280.

    Google Scholar 

  15. Debever, R. (1979). Sur les solutions du typeD des equations de Maxwell-Einstein (unpublished).

  16. Debever, R., and McLenaghan, R. G. (1980).Bull. Cl. Sci. Acad. R. Beligique, LXVI, 204.

    Google Scholar 

  17. Debever, R., and Kamran, N. (1982).Gen. Rel. Grav.,14(7), 637.

    Google Scholar 

  18. Mavrides, S. (1973).L'Univers Relativiste (Masson et Cie, Paris).

    Google Scholar 

  19. Kantowski, R., and Sachs, R. K. (1966).J. Math. Phys.,7(3), 443.

    Google Scholar 

  20. Robinson, I. (1953).Bull. Acad. Pol.,7, 351.

    Google Scholar 

  21. Bertotti, B. (1959).Phys. Rev.,116, 1331.

    Google Scholar 

  22. McLenaghan, R. G., and Leroy, J. (1972).Proc. R. Soc. Land. Ser. A,327, 289.

    Google Scholar 

  23. Cahen, M., and Debever, R. (1961).Bull. Acad. R. Belgique,LIV.

  24. Leroy, J. (1978).Bull. Cl. Sc. Acad. R. Belgique,LXIV, 130.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kissamou 32, 712-02, Krete-Iraklion, Greece

    Papacostas Taxiarchis

Authors
  1. Papacostas Taxiarchis
    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

Taxiarchis, P. Space-times admitting Penrose-Floyd tensors. Gen Relat Gravit 17, 149–166 (1985). https://doi.org/10.1007/BF00760527

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00760527

Keywords

Search

Navigation