Phenomenology of Dark Matter via a Bimetric Extension of General Relativity

Abstract

We propose a relativistic model of dark matter reproducing at once the concordance cosmological model $\Lambda$-Cold-Dark-Matter ($\Lambda$-CDM) at cosmological scales, and the phenomenology of the modified Newtonian dynamics (MOND) at galactic scales. To achieve this we postulate a non-standard form of dark matter, consisting of two different species of particles coupled to gravity via a bimetric extension of general relativity, and linked together through an internal vector field (a "graviphoton") generated by the mass of these particles. We prove that this dark matter behaves like ordinary cold dark matter at the level of first order cosmological perturbation, while a pure cosmological constant plays the role of dark energy. The MOND equation emerges in the non-relativistic limit through a mechanism of gravitational polarization of the dark matter medium in the gravitational field of ordinary matter. Finally we show that the model is viable in the solar system as it predicts the same parametrized post-Newtonian parameters as general relativity.

34 pages, matches published version

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Cited by in corpus (10)

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• Combined Lorentz symmetry: lessons from superfluid 3He
• Antimatter gravity and the Universe
• Acausality in Superfluid Dark Matter and MOND-like Theories
• Causal Modifications of Gravity and Their Observational Bounds
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Absence of gravitational polarization mechanism in the canonical bimetric theory
• Dipolar perturbations of nonbidiagonal black holes in bigravity
• Bimetric MOND as a framework for variable-$G$ theories -- local systems and cosmology