Mimetic dark matter

By A. Chamseddine, V. Mukhanov. 2013

345 citations recorded by the source corpus.

A bstractWe modify Einstein’s theory of gravity, isolating the conformal degree of freedom in a covariant way. This is done by introducing a physical metric defined in terms of an auxiliary metric and a scalar field appearing through its first derivatives. The resulting equations of motion split into a traceless equation obtained through variation with respect to the auxiliary metric and an additional differential equation for the trace part. As a result the conformal degree of freedom becomes dynamical even in the absence of matter. We show that this extra degree of freedom can mimic cold dark matter.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/181542d4ebebe2a4eef536e896b543d48e9745a6

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Citations in the corpus

Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations (2016, methodology): “In particular, if S̃ is the Einstein-Hilbert action, with only two degrees of freedom, one ends up with three degrees of freedom for S, as discussed in [22] and [23].”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “gravity (Chamseddine and Mukhanov, 2013), a gravitational alternative to dark matter.”
Horndeski theory and beyond: a review (2019, methodology): “mal transformation with D(φ,X) = C(φ,X) 2X +F(φ), (117) where C(φ,X) and F(φ) are arbitrary (see Eq. (109)) [176, 177]. This is essentially the ﬁeld redeﬁnition used in the context of mimetic gravity [178, 179] (see [180] for a review). The idea behind this is that noninvertible ﬁeld redeﬁnition can”
Nonsingular black hole (2016, methodology): “The only extra new degree of freedom which appears here is mimetic Dark Matter [10] because the constraint (2) forces the longitudinal gravitational field to become dynamical even in the absence of the usual matter.”
Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics (2016, methodology): “A particularly interesting theory of modified gravity which has emerged in the past few years is mimetic gravity [69].”
Dark energy and modified gravity in degenerate higher-order scalar–tensor (DHOST) theories: A review (2018, background): “Finally, let us note that mimetic theories [31] and their extensions (see e.”
Black holes with scalar hair in light of the Event Horizon Telescope (2020, background): “[58–72] for examples of models where scalar fields play the role of DM, DE, or drive inflation, and/or unify one or more of these aspects, both in the context of General Relativity as well as within extensions thereof.”
Hamiltonian analysis of higher derivative scalar-tensor theories (2015, background): “A discussion of this special case can be found in [39] (see also [40], where the first Hamiltonian analysis of mimetic gravity was presented).”
Resolving cosmological singularities (2016, background): “As it was shown in [6], this constrained scalar field is not dynamical by itself, but induces mimetic dark matter in Einstein theory making the longitudinal degree of freedom of the gravitational field dynamical.”
Cosmology with Mimetic Matter (2014, background): “Finally, such a modification opens up a new interesting playground for modeling Dark Matter, where the speed of sound can be very small but not exactly vanishing and the behavior of the mimetic matter can deviate from the usual perfect-fluid-like dust.”