The application of spin coefficient techniques in the vacuum quadratic Poincaré gauge field theory
Abstract
The vacuum field equations of the quadratic Poincaré gauge field theory are expressed in the spin coefficient formalism of Newman and Penrose. These are differential identities involving curvature and torsion and, for an NPtype approach, must be combined with the NPidentities in aU _{4} given by Jogia and Griffiths (1980). The use of the formalism is demonstrated in the derivation of some new exact solutions.
 Publication:

General Relativity and Gravitation
 Pub Date:
 March 1990
 DOI:
 10.1007/BF00756277
 Bibcode:
 1990GReGr..22..269S