General transformation laws in the NewmanPenrose formalism
Abstract
The most general transformation laws for all NewmanPenrose variables are presented; these changes encompass not only effects of complex Lorentz transformations, but also of general complex conformal rescalings with independent conformal factors. The results obtained are derived from first principles, and the problem of length is surmounted by presenting all formulae in matrix form. For the sake of conciseness, the general transformation laws for directional derivatives, spin coefficients, and components of the electromagnetic field are given in matrix form. Attention is given to the diagonal case, which includes complex boost rotations and standard conformal rescalings.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 November 1986
 DOI:
 10.1088/02649381/3/6/006
 Bibcode:
 1986CQGra...3L.141L
 Keywords:

 Conformal Mapping;
 Electromagnetic Fields;
 Formalism;
 Lorentz Transformations;
 Matrices (Mathematics);
 Transformations (Mathematics);
 Scalars;
 Tensors;
 Physics (General)