On the recently proposed mimetic Dark Matter

By A. Golovnev. 2013

186 citations recorded by the source corpus.

Abstract Recently, an interesting gravitational model was proposed in order to mimic the effect of Dark Matter. Chamseddine and Mukhanov in the arXiv preprint 1308.5410 have separated the conformal mode of a physical metric in the form of a squared gradient of an auxiliary scalar field. Notably, the variational principle has given a more general equation of motion than that of purely Einsteinian relativity theory, with a possibility of reproducing an effective Dark Matter. In this short Letter, we explain the nature of this phenomenon in terms of the class of functions on which the variation takes place. Then we give a more transparent equivalent formulation of the model without an auxiliary metric. Finally, we speculate a bit about possible extensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/612958d7482f52dd795e858deda654db5bc68f1a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Vagnozzi
2. V. Mukhanov
3. A. Chamseddine
4. Ratbay Myrzakulov
5. Lorenzo Sebastiani
6. A. Vikman
7. Tsutomu Kobayashi
8. I. Sawicki

In Nuclear and High Energy Physics

1. S. Vagnozzi
2. V. Mukhanov
3. A. Chamseddine
4. Ratbay Myrzakulov
5. Lorenzo Sebastiani
6. A. Vikman
7. Tsutomu Kobayashi
8. I. Sawicki

In Statistical and Nonlinear Physics

1. A. Chamseddine
2. V. Mukhanov
3. Ratbay Myrzakulov
4. Lorenzo Sebastiani
5. A. Vikman
6. S. Vagnozzi

Citations in the corpus

• Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics (2016, background): “A first explanation appeared in [70], which explained this property in terms of variation of the action taking place over a restricted class of functions.”
• Cosmology with Mimetic Matter (2014, methodology): “The equations of motion derived from the action formulated in terms of the auxiliary metric g̃μν are equivalent to those ones obtained by variation of the Einstein action with respect to the physical metric gμν if we impose an extra constraint on the scalar field [2, 3].”
• Disformal transformations, veiled General Relativity and Mimetic Gravity (2014, unknown): “In [11] it was shown that they can also be deduced by extremizing, with respect to gμν , the action S + ∫ λ √ −g(g∂μΨ∂νΨ − 1) d4x where S is the Einstein-Hilbert action and where λ is a Lagrange multiplier.”