Natural Poincaré gauge model

Physics

Scientific paper

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

Because it acts on space-time and is not semisimple, the Poincaré group cannot lead to a gauge theory of the usual kind. A candidate model is discussed which keeps itself as close as possible to the typical gauge scheme. Its field equations are the Yang-Mills equations for the Poincaré group. It is shown that there exists no Lagrangian for these equations.

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