Abstract
We 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.
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References
L. Landau and E. Lifshitz, The Classical Theory of Fields, section 97, fourth edition, Butterworth, Heinemann (1980).
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ArXiv ePrint: 1308.5410
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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Chamseddine, A.H., Mukhanov, V. Mimetic dark matter. J. High Energ. Phys. 2013, 135 (2013). https://doi.org/10.1007/JHEP11(2013)135
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DOI: https://doi.org/10.1007/JHEP11(2013)135