Dyadic Analysis of Spatially Homogeneous World Models

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Abstract
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.

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