Published January 1, 2020 | Version v1
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DE DONDER FORM FOR SECOND ORDER GRAVITY

  • 1. Univ Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada
  • 2. Gebze Tech Univ, Dept Math, TR-41400 Kocaeli, Turkey

Description

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.

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