De Donder Form for Second Order Gravity

J\k{e}drzej \'Sniatycki; O\u{g}ul Esen

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De Donder Form for Second Order Gravity

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arxiv 1902.07616 v2 pith:VHBP7RW6 submitted 2019-02-20 math-ph math.DGmath.MP

De Donder Form for Second Order Gravity

J\k{e}drzej \'Sniatycki , O\u{g}ul Esen This is my paper

classification math-ph math.DGmath.MP

keywords applieddefineddonderformgravityordersecondcoordinate

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We show that the De Donder form for second order gravity, defined in terms of Ostrogradski's version of the Legendre transformation applied to all independent variables, is globally defined by its local coordinate descriptions. It is a natural differential operator applied to the diffeomorphism invariant Lagrangian of the theory.

De Donder Form for Second Order Gravity

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