ADM formulation and Hamiltonian analysis of f (Q) gravity

摘要

f(Q) gravity is an extension of the symmetric teleparallel equivalent to general relativity. We demonstrate the Hamiltonian analysis of f(Q) gravity with fixing the coincident gauge condition. Using the standard Dirac-Bergmann algorithm, we show that f(Q) gravity has 8 physical degrees of freedom. This result reflects that the diffeomorphism symmetry of f(Q) gravity is completely broken due to the gauge fixing. Moreover, in terms of the perturbations, we discuss the possible mode decomposition of these degrees of freedom.

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