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

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 geomet...

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Main Authors: Lorenzo Sebastiani, Sunny Vagnozzi, Ratbay Myrzakulov
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/3156915
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author Lorenzo Sebastiani
Sunny Vagnozzi
Ratbay Myrzakulov
author_facet Lorenzo Sebastiani
Sunny Vagnozzi
Ratbay Myrzakulov
author_sort Lorenzo Sebastiani
collection DOAJ
description 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 f(R) 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.
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spelling doaj-art-1e75b812c68e40fca1b47746e1f1eb502025-02-03T06:07:07ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/31569153156915Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and AstrophysicsLorenzo Sebastiani0Sunny Vagnozzi1Ratbay Myrzakulov2Department of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Satpayev Str. 2, Astana 010008, KazakhstanNiels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 København Ø, DenmarkDepartment of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Satpayev Str. 2, Astana 010008, KazakhstanMimetic 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 f(R) 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.http://dx.doi.org/10.1155/2017/3156915
spellingShingle Lorenzo Sebastiani
Sunny Vagnozzi
Ratbay Myrzakulov
Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
Advances in High Energy Physics
title Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
title_full Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
title_fullStr Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
title_full_unstemmed Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
title_short Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
title_sort mimetic gravity a review of recent developments and applications to cosmology and astrophysics
url http://dx.doi.org/10.1155/2017/3156915
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