https://doi.org/10.1140/epjc/s10052-015-3856-0
Regular Article - Theoretical Physics
A cosmological solution to mimetic dark matter
Physics Department, American University of Beirut, Beirut, Lebanon
* e-mail: hls01@mail.aub.edu
Received:
25
August
2015
Accepted:
17
December
2015
Published online:
11
January
2016
In this paper, a cosmological solution to Mimetic Dark Matter (MDM) for an exponential potential is provided. Then a solution for the 
perturbed Einstein differential equation of MDM is obtained based on an exponential potential that satisfies inflation for some initial conditions. Another general potential is suggested that incorporates inflation too. Then quantum perturbations are included. The constants in the model can be tuned to be in agreement with the fluctuation amplitude of the cosmic microwave background (CMB) radiation. Finally, the spectral index is calculated for the suggested potentials. Moreover, MDM is shown to be a viable model to produce dark matter, inflation, and CMB’s fluctuation.
© The Author(s), 2016
