General transformation laws in the Newman-Penrose formalism

Details General transformation laws in the Newman-Penrose formalism General transformation laws in the Newman-Penrose formalism

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3l.141l&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, Nov. 1, 1986, p. L141-L147. NSERC-supported research.

Mathematics

4

Conformal Mapping, Electromagnetic Fields, Formalism, Lorentz Transformations, Matrices (Mathematics), Transformations (Mathematics), Scalars, Tensors

Scientific paper

The most general transformation laws for all Newman-Penrose 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.

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