A Cosmological Solution to Mimetic Dark Matter

TL;DR

This paper presents a cosmological model based on Mimetic Dark Matter with exponential potentials, demonstrating its ability to account for dark matter, inflation, and CMB fluctuations through analytical solutions and quantum perturbations.

Contribution

It introduces specific exponential potentials within MDM that can reproduce inflation, dark matter, and CMB fluctuations, including quantum effects and spectral index calculations.

Findings

Model matches CMB amplitude fluctuations.

Spectral index calculated for proposed potentials.

MDM can produce dark matter and inflation simultaneously.

Abstract

In this paper, a cosmological solution to Mimetic Dark Matter (MDM) for an exponential potential is provided. Then, a solution for the $0-i$ perturbed Einstein's 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 amplitude fluctuation 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.