English

A Cosmological Solution to Mimetic Dark Matter

General Relativity and Quantum Cosmology 2017-03-22 v4

Abstract

In this paper, a cosmological solution to Mimetic Dark Matter (MDM) for an exponential potential is provided. Then, a solution for the 0i0-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.

Keywords

Cite

@article{arxiv.1411.4531,
  title  = {A Cosmological Solution to Mimetic Dark Matter},
  author = {Hassan Saadi},
  journal= {arXiv preprint arXiv:1411.4531},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T07:01:40.488Z