Skip to main content
Log in

A formalism for the investigation of algebraically special metrics. I

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

A new formalism is proposed for the investigation of algebraically special metrics. Among its advantages are that the essential calculations are co-ordinate free and the equations are gauge invariant. The derived equations are simple in form hence easy to work with and the approach is rich in possibilities not explored by previous techniques.

This paper contains no new results but is an introduction to the technique and a demonstration of its use. New results will be presented in further papers.

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. Robinson, I., Robinson, J., Zund, J.: J. Math. and Mech.18, 881 (1969)

    Google Scholar 

  2. Bondi, H., van der Burg, M. G. J., Metzner, A. W. K.: Proc. Roy. Soc. A269, 21 (1962)

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  5. Geroch, R., Held, A., Penrose, R.: J. Math. Phys.14, 874 (1973)

    Google Scholar 

  6. Kinnersley, W.: J. Math. Phys.10, 1195 (1969)

    Google Scholar 

  7. Held, A.: Proc. Roy. Soc. A332, 415 (1973)

    Google Scholar 

  8. Talbot, C. J.: Commun. math. Phys.13, 45 (1969)

    Google Scholar 

  9. Stewart, J. M., Walker, M.: Perturbations of spacetimes in general relativity (Preprint)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by J. Ehlers

Rights and permissions

Reprints and permissions

About this article

Cite this article

Held, A. A formalism for the investigation of algebraically special metrics. I. Commun.Math. Phys. 37, 311–326 (1974). https://doi.org/10.1007/BF01645944

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01645944

Keywords

Navigation