Gauge group, degeneration, and degrees of freedom in the ECSK theory of gravity. I. The symplectic structure of the ECSK theory.

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Gravitation Theory

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This paper is the first of a two-article series in which the connections between the gauge group, degeneration, and degrees of freedom in the ECSK theory coupled to an arbitrary tensor field are discussed. In this paper a multisymplectic formulation of the ECSK theory is presented and the symplectic 2-form Ω, which plays a leading role in the considerations, is found.

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