A connection dynamic theory of gravity

Physics

Scientific paper

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Scientific paper

A gauge theory of gravity with matter sources is investigated. In this theory the fundamental fields are the connections of a principal de Sitter fiber bundle, and the action is a quadratic form of the curvature as in the standard Yang-Mills theory, in which the Einstein-Hilbert action is included. The Hamiltonian formulation and the constraint analysis of it is given. The separation of the self-dual and anti self-dual parts of the connection and curvature is exhibited.

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