A symmetry of Petrov-type N spaces
- 1 October 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (10) , 1434-1436
- https://doi.org/10.1063/1.1666198
Abstract
It is shown that for empty Petrov‐type N spaces the Lie derivative in the principal null direction of the Weyl conformal tensor and its dual is equal to a conformal transformation and a duality rotation of the original tensor. This type of symmetry is studied for general relativity and electromagnetism.Keywords
This publication has 2 references indexed in Scilit:
- Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature TensorJournal of Mathematical Physics, 1969
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962