Mimetic Dark Matter

Chamseddine, Ali H.; Mukhanov, Viatcheslav

doi:10.48550/arxiv.1308.5410

Cited by 111 publications

(282 citation statements)

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“…The idea of the mimetic gravity was proposed [1], in order to shed the light on the problem of dark matter. Roughly speaking, isolating the conformal degree of freedom of the gravitational field in a covariant way, it was shown that the conformal degree of freedom can be dynamical even in the absence of matter.…”

Section: Introductionmentioning

confidence: 99%

“…Roughly speaking, isolating the conformal degree of freedom of the gravitational field in a covariant way, it was shown that the conformal degree of freedom can be dynamical even in the absence of matter. As a result, the extra scalar longitudinal degree of freedom of the gravitation field, can be interpreted as the energy density of the mimetic field which scales in term of the scalae factor a, as a −3 , which resembles the contribution of pressureless dust, without needing to particle dark matter [1]. In the past few years, mimetic theory of gravity has arisen a considerable attentions both in the cosmological setup as well as in stationary background.…”

Section: Introductionmentioning

confidence: 99%

“…More recently, it has been realized [26] that one is capable to reproduce the flat galactic rotation curves, in the context of mimetic gravity, without neither modifying the action [39] nor taking into account a complicated potential for the mimetic field [19]. Indeed, the original theory of mimetic gravity [1] was proposed in such a way that it naturally mimics dark matter as a geometrical effect. It was argued that the origin of the responsible term for recovering the flat galactic rotation curves in a static spacetime, is exactly the one which mimics dark matter in the cosmological setup [26].…”

Section: Introductionmentioning

confidence: 99%

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Mimetic Black Strings

Sheykhi

2020

Preprint

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We present two new classes of black string solutions in the context of mimetic gravity. The horizon topology of these solutions can be either a flat T 2 torus with topology S 1 × S 1 , or a standard cylindrical model with topology R × S 1 . The first class describes uncharged rotating black string which its asymptotic behaviour is approximately anti-de Sitter (AdS), while the second class represents asymptotically AdS charged rotating black string. We study the casual structure and physical properties of these spacetimes and calculate the mass and angular momentum per unit length of rotating black strings.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mimetic Black Strings

Sheykhi

2020

Preprint

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“…The nature of dark matter is a real puzzle, which persistently evades any kind of detection outside the realm of gravitational interactions at galactic and cosmological scales. Chamseddine and Mukhanov [1] introduced for the first time the concept of mimetic field. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [1], they showed a conformal extension of the general relativity (GR), in which the physical metric is defined in terms of an auxiliary metric and the first derivatives of a scalar field φ (mimetic field). An equivalent formulation of the mimetic dark matter theory was given in Ref.…”

Section: Introductionmentioning

confidence: 99%

Generalized Birkhoff theorem and its applications in mimetic gravity

Li¹,

Zhai²,

Li³

2018

Preprint

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There is undetermined potential function V (φ) in the action of mimetic gravity which should be resolved through physical means. In general relativity(GR), the static spherically symmetric(SSS) solution to the Einstein equation is a benchmark and its deformation also plays a crucial role in mimetic gravity. The equation of motion is provided with high nonlinearity, but we can reduce primal nonlinearity to a frequent Riccati form in the SSS case of mimetic gravity. In other words, we obtain an expression of solution to the functional differential equation of motion with any potential function. Remarkably, we proved rigorously that there is a zero point of first order for the metric function β(r) if another metric function α(r) possesses a pole of first order within mimetic gravity. The zero point theorem may be regarded as the generalization of Birkhoff theorem αβ = 1 in GR. As a corollary, we show that there is a modified black hole solution for any given V (φ), which can pass the test of solar system. As another corollary, the zero point theorem provides a dynamical mechanism for the maximum size of galaxies. Especially, there are two analytic solutions which provide good fits to the rotation curves of galaxies without the demand for particle dark matter.

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Cosmology via Metric-Independent Volume-Form Dynamics

Guendelman

Nissimov

Pacheva

2018

Springer Proceedings in Physics

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The method of non-Riemannian volume-forms (metric-independent covariant integration measure densities on the spacetime manifold) is applied to construct a unified model of dynamical dark energy plus dark matter as a dust fluid resulting from a hidden Noether symmetry of the pertinent scalar field Lagrangian. Canonical Hamiltonian treatment and Wheeler-DeWitt quantization of the latter model are briefly discussed.

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Mimetic Dark Matter

Cited by 111 publications

References 0 publications

Mimetic Black Strings

Mimetic Black Strings

Generalized Birkhoff theorem and its applications in mimetic gravity

Cosmology via Metric-Independent Volume-Form Dynamics

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