Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2017, Article ID 3156915, 43 pages
https://doi.org/10.1155/2017/3156915
Review Article

Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics

1Department of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Satpayev Str. 2, Astana 010008, Kazakhstan
2Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 København Ø, Denmark

Correspondence should be addressed to Sunny Vagnozzi; es.us.kisyf@izzongav.ynnus

Received 29 August 2016; Accepted 6 December 2016; Published 2 March 2017

Academic Editor: Christian Corda

Copyright © 2017 Lorenzo Sebastiani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

Mimetic gravity is a Weyl-symmetric extension of General Relativity, related to the latter by a singular disformal transformation, wherein the appearance of a dust-like perfect fluid can mimic cold dark matter at a cosmological level. Within this framework, it is possible to provide a unified geometrical explanation for dark matter, the late-time acceleration, and inflation, making it a very attractive theory. In this review, we summarize the main aspects of mimetic gravity, as well as extensions of the minimal formulation of the model. We devote particular focus to the reconstruction technique, which allows the realization of any desired expansionary history of the universe by an accurate choice of potential or other functions defined within the theory (as in the case of mimetic gravity). We briefly discuss cosmological perturbation theory within mimetic gravity. As a case study within which we apply the concepts previously discussed, we study a mimetic Hořava-like theory, of which we explore solutions and cosmological perturbations in detail. Finally, we conclude the review by discussing static spherically symmetric solutions within mimetic gravity and apply our findings to the problem of galactic rotation curves. Our review provides an introduction to mimetic gravity, as well as a concise but self-contained summary of recent findings, progress, open questions, and outlooks on future research directions.