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 energy-momentum tensor. The Poisson brackets are then computed and closure is proved. At the end, 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.

References in corpus (2)

• Cosmology with Mimetic Matter
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity

Cited by in corpus (11)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Dynamical behavior in mimetic F(R) gravity
• New Modified Mimetic Gravity
• Late time cosmological approach in mimetic $f(R,T)$ gravity
• Hamiltonian analysis of mimetic scalar gravity revisited
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• Mimetic DBI Inflation in Confrontation with Planck2018 data
• Direct couplings of mimetic dark matter and their cosmological effects
• Emergent scenario in mimetic gravity
• Tachyon Mimetic Inflation as an Instabilities-Free Model
• Viable Intermediate Inflation in the Mimetic DBI Model