Born-Infeld inspired gravity with minimally coupled scalar fields is rewritten in canonical form whose gravitational piece is identical to general relativity and whose matter piece carries complicated corrections.
Canonical Analysis of Eddington Gravity
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In this short note we perform canonical analysis of Eddington gravity using L. Faddeev and Jackiw formalism. We demonstrate that resulting canonical action has the same form as General Relativity canonical action which proves an equivalence of Eddington gravity and General Relativity in Hamiltonian formalism.
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Canonical Form of Born-Infeld Inspired Gravity Coupled to Scalar Fields
Born-Infeld inspired gravity with minimally coupled scalar fields is rewritten in canonical form whose gravitational piece is identical to general relativity and whose matter piece carries complicated corrections.