ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
  $f(Q)$ gravity is an extension of the symmetric teleparallel equivalent to
general relativity (STEGR). 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 eight 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 those
degrees of freedom.
