DYADIC ANALYSIS OF SPATIALLY HOMOGENEOUS WORLD MODELS

The dyadic formalism is applied to cosmological models, and leads to a convenient set of first-order ordinary differential equations. The Bianchi-Behr type of any model is shown to be constant in time, regardless of the state of the matter content. The case of perfect fluid matter content is formulated. Type V models and Type VIII and IX models with incoherent matter are discussed, and some consistent subtypes delineated. The Gödel Hamiltonian for symmetric Type IX models is derived and generalized. Copyright © 1968 by the American Institute of Physics.