Hamiltonian formulation of mimetic gravity

Abstract

The Hamiltonian formulation of mimetic gravity is formulated. Although there are two more equations than those of general relativity, these are proved to be the constraint equation and the conservation of the energy-momentum tensor. The Poisson brackets are then computed and closure is proved. At the end, the Wheeler-DeWitt equation was solved for a homogeneous and isotropic universe. This was done first for a vanishing potential where agreement with the dust case was shown, and then for a constant potential. © 2015 American Physical Society.