Notes on recent U4 theories of gravitation.

Mathematics – Logic

Scientific paper

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Gravitation Theory

Scientific paper

Some of the proposed Lagrangians and their corresponding field equations for a gravitational theory based on a Riemann-Cartan space with metric-compatible connection (U 4, theory) are compared and a new one is suggested. This Lagiangian, and that of P. von der Heyde and F. W. Hehl et al. are examined applying the “Gordon-decomposition” argument. Finally, Einstein's field equations with cosmological term are shown to be included in some sense, but the cosmological constant λ naturally has microphysical origin. To simplify notation, Cartan's calculus is used throughout.

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