2019/09/30 by Liuyuan Shen, Yunlong Zheng, Mingzhe Li
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological perturbation theory #Cosmology and Gravitation Theories #Covariant Hamiltonian field theory #Hamiltonian (control theory) #Homogeneous space #Instability #Kinetic term #Lagrangian #Noncommutative and Quantum Gravity Theories #Perturbation (astronomy) #Scalar field #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2019/12/026
13 pages, the version accepted by JCAP
openalex created_date 2019/09/12 · openalex publication_date 2019/12/09 · arxiv created 2019/12/10 · arxiv updated 2020/09/25 · openalex updated_date 2026/08/05
We revisit the two-field mimetic gravity model with shift symmetries recently proposed in the literature, especially the problems of degrees of freedom and stabilities. We first study the model at the linear cosmological perturbation level by quadratic Lagrangian and Hamiltonian formulations. We show that there are actually two (instead of one) scalar degrees of freedom in this model in addition to two tensor modes. We then push on the study to the full non-linear level in terms of the Hamiltonian analysis, and confirm our result from the linear perturbation theory. We also consider the case where the kinetic terms of the two mimetic scalar fields have opposite signs in the constraint equation. We point out that in this case the model always suffers from the ghost instability problem.