Abstract
A first-order action for scalar-tensor theories of gravity is proposed. The Hamiltonian analysis of the action gives the desired connection dynamical formalism, which was derived from the geometrical dynamics by canonical transformations. It is shown that this connection formalism in the Jordan frame is equivalent to the alternative connection formalism in the Einstein frame. Therefore, the action principle underlying loop quantum scalar-tensor theories is recovered.
- Received 26 November 2012
DOI:https://doi.org/10.1103/PhysRevD.87.087502
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