On the recently proposed mimetic Dark Matter

Golovnev, Alexey

doi:10.1016/j.physletb.2013.11.026

Cited by 182 publications

(243 citation statements)

References 4 publications

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“…And, upon any intrusions, its scalar sector can present many unexpected surprises. For example, somehow modifying the Einstein-Hilbert variational principle in its conformal part, one can have an arbitrary cosmological constant without interactions with the trace part of the stress tensor as in unimodular gravity [19], or be able to mimic the Dark Matter behaviour with modified gravitation [20,21,22]. Analysing the conformal sector in a gravitational model with several new degrees of freedom, it is sometimes possible to prove that it is healthy [23] despite the ghosts in other modes [24].…”

Section: Discussionmentioning

confidence: 99%

On non-perturbative analysis of massive and bimetric gravity

Golovnev

2014

AIP Conference Proceedings

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This is my contribution to Proceedings of II Russian-Spanish Congress on Particle and Nuclear Physics at all Scales and Cosmology, Saint Petersburg, Russia, October 1 - 4, 2013. We give a brief overview of the ghost-free massive and bimetric gravity emphasising its non-perturbative aspects and ADM approach to calculating the precise number of degrees of freedom. To the standard material, we add some thoughts concerning existence and uniqueness problems of matrix square roots in non-perturbative metric formulations of massive gravity.Comment: 5 pages; prepared for the Proceedings of II Russian-Spanish Congress on Particle and Nuclear Physics at all Scales and Cosmolog

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Section: Discussionmentioning

confidence: 99%

On non-perturbative analysis of massive and bimetric gravity

Golovnev

2014

AIP Conference Proceedings

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“…Recently it was proposed by Chamseddine and Mukhanov [10] that dark matter can be a result of gravitational modification of General Relativity, the so-called mimetic dark matter approach. The cosmological consequences were further studied in [11,12] and extended in various theoretical frameworks in [13][14][15][16][17]. Actually Ref.…”

Section: Introductionmentioning

confidence: 99%

Accelerating cosmologies and the phase structure ofF(R)gravity with Lagrange multiplier constraints: A mimetic approach

Odintsov

Oikonomou

2016

Phys. Rev. D

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We study mimetic F (R) gravity with potential and Lagrange multiplier constraint. In the context of these theories, we introduce a reconstruction technique which enables us to realize arbitrary cosmologies, given the Hubble rate and an arbitrarily chosen F (R) gravity. We exemplify our method by realizing cosmologies that are in concordance with current observations (Planck data) and also well known bouncing cosmologies. The attribute of our method is that the F (R) gravity can be arbitrarily chosen, so we can have the appealing features of the mimetic approach combined with the known features of some F (R) gravities, which unify early-time with late-time acceleration. Moreover, we study the existence and the stability of de Sitter points in the context of mimetic F (R) gravity. In the case of unstable de Sitter points, it is demonstrated that graceful exit from inflation occurs. We also study the Einstein frame counterpart theory of the Jordan frame mimetic F (R) gravity, we discuss the general properties of the theory and exemplify our analysis by studying a quite interesting from a phenomenological point of view, model with two scalar fields. We also calculate the observational indices of the two scalar field model, by using the two scalar field formalism. Furthermore, we extensively study the dynamical system that corresponds to the mimetic F (R) gravity, by finding the fixed points and studying their stability. Finally, we modify our reconstruction method to function in the inverse way and thus yielding which F (R) gravity can realize a specific cosmological evolution, given the mimetic potential and the Lagrange multiplier.PACS numbers: 95.35.+d, 98.80.Cq, 95.36.+x

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“…[35]. Soon afterwards, it has been realized that the proposed scenario is equivalent to adding a Lagrange multiplier into the Einstein-Hilbert action [36]. This is the picture described by the action (1.1).…”

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Modified dust and the small scale crisis in CDM

Capela

Ramazanov

2015

J. Cosmol. Astropart. Phys.

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At large scales and for sufficiently early times, dark matter is described as a pressureless perfect fluid-dust-non-interacting with Standard Model fields. These features are captured by a simple model with two scalars: a Lagrange multiplier and another playing the role of the velocity potential. That model arises naturally in some gravitational frameworks, e.g., the mimetic dark matter scenario. We consider an extension of the model by means of higher derivative terms, such that the dust solutions are preserved at the background level, but there is a non-zero sound speed at the linear level. We associate this Modified Dust with dark matter, and study the linear evolution of cosmological perturbations in that picture. The most prominent effect is the suppression of their power spectrum for sufficiently large cosmological momenta. This can be relevant in view of the problems that cold dark matter faces at sub-galactic scales, e.g., the missing satellites problem. At even shorter scales, however, perturbations of Modified Dust are enhanced compared to the predictions of more common particle dark matter scenarios. This is a peculiarity of their evolution in radiation dominated background. We also briefly discuss clustering of Modified Dust. We write the system of equations in the Newtonian limit, and sketch the possible mechanism which could prevent the appearance of caustic singularities. The same mechanism may be relevant in light of the core-cusp problem.

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On the recently proposed mimetic Dark Matter

Cited by 182 publications

References 4 publications

On non-perturbative analysis of massive and bimetric gravity

On non-perturbative analysis of massive and bimetric gravity

Accelerating cosmologies and the phase structure ofF(R)gravity with Lagrange multiplier constraints: A mimetic approach

Modified dust and the small scale crisis in CDM

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