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2016

Canonical invariance of spatially covariant scalar-tensor theory

Saitou, Rio

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We investigate invariant canonical transformations of a spatially covariant scalar-tensor theory of gravity, called the XG theory, by which the action or the Hamiltonian and the primary constraints keep their forms invariant.

We derive the Hamiltonian in a non perturbative manner and complete the Hamiltonian analysis for all regions of the theory.
We confirm that the theory has at most 3 degrees of freedom in all regions of the theory as long as the theory has the symmetry under the spatial diffeormorphism.
Then, we derive the invariant canonical transformation by using the infinitesimal transformation.

Canonical invariance of spatially covariant scalar-tensor theory · Around

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