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.
The Canonical Structure of the First Order Einstein-Hilbert Action with a Flat Background
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It has been shown that the canonical structure of the first order Einstein-Hilbert (1EH) action involves three generations of constraints and that these can be used to find the generator of a gauge transformation which leaves the action invariant; this transformation is a diffeomorphism with field-dependent gauge function while on shell. In this paper we examine the relationship between the canonical structure of this action and that of the first order spin-2 (1S2) action, which is the weak field limit of the Einstein-Hilbert action. We find that the weak field limit of the Possion Brackets (PB) algebra of first class constraints associated with the 1EH action is not that of the 1S2 action.
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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.