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.
Similar content being viewed by others
References
Robinson, I., Robinson, J., Zund, J.: J. Math. and Mech.18, 881 (1969)
Bondi, H., van der Burg, M. G. J., Metzner, A. W. K.: Proc. Roy. Soc. A269, 21 (1962)
Newman, E. T., Penrose, R.: J. Math. Phys.3, 566 (1962)
Cahen, M., Debever, R., Defrise, L.: J. Math. and Mech.16, 761 (1967)
Geroch, R., Held, A., Penrose, R.: J. Math. Phys.14, 874 (1973)
Kinnersley, W.: J. Math. Phys.10, 1195 (1969)
Held, A.: Proc. Roy. Soc. A332, 415 (1973)
Talbot, C. J.: Commun. math. Phys.13, 45 (1969)
Stewart, J. M., Walker, M.: Perturbations of spacetimes in general relativity (Preprint)
Author information
Authors and Affiliations
Additional information
Communicated by J. Ehlers
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01645944