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.

arXiv comment34 pages, matches published version

References in corpus (48)

• Planck 2013 results. XVI. Cosmological parameters
• Particle Dark Matter: Evidence, Candidates and Constraints
• A direct empirical proof of the existence of dark matter
• Resummation of Massive Gravity
• Relativistic gravitation theory for the MOND paradigm
• Generalization of the Fierz-Pauli Action
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Bimetric Gravity from Ghost-free Massive Gravity
• The Baryonic Tully-Fisher Relation
• Cosmic Microwave Background Anisotropies
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Modifying gravity with the Aether: an alternative to Dark Matter
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• Ghost free Massive Gravity in the Stückelberg language
• The Current Status of Galaxy Formation
• Quasi-linear formulation of MOND
• Inconsistency of interacting, multi-graviton theories
• Bimetric MOND gravity
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• Resolving the virial discrepancy in clusters of galaxies with modified Newtonian dynamics
• A stratified framework for scalar-tensor theories of Modified Dynamics
• A tensor-vector-scalar framework for modified dynamics and cosmic dark matter
• Tidal dwarf galaxies as a test of fundamental physics
• A Tale of Two Paradigms: the Mutual Incommensurability of LCDM and MOND
• Vector theories in cosmology
• Generalizing TeVeS Cosmology
• X-ray Group and cluster mass profiles in MOND: Unexplained mass on the group scale
• Improving relativistic MOND with Galileon k-mouflage
• New constraints on MOND from galaxy clusters
• Evolution of spiral galaxies in modified gravity
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Gravitational polarization and the phenomenology of MOND
• Model of Dark Matter and Dark Energy Based on Gravitational Polarization
• Detecting a Lorentz-Violating Field in Cosmology
• Vector field models of modified gravity and the dark sector
• Dipolar Dark Matter and Dark Energy
• The Universal Faber-Jackson Relation
• Is dark matter an illusion created by the gravitational polarization of the quantum vacuum?
• Polar ring galaxies as tests of gravity
• Perturbations In A Non-Uniform Dark Energy Fluid: Equations Reveal Effects of Modified Gravity and Dark Matter
• Modified gravity approach based on a preferred time foliation
• Hiding Lorentz Invariance Violation with MOND
• Principles of supernova-driven winds
• Testing Alternative Theories of Dark Matter with the CMB
• Phenomenology of MOND and gravitational polarization
• Non-Gaussianity in the Cosmic Microwave Background Induced by Dipolar Dark Matter

Cited by in corpus (15)

• Recent developments in bimetric theory
• Combined Solar System and rotation curve constraints on MOND
• Non-linear extension of non-metricity scalar for MOND
• Dipolar Dark Matter with Massive Bigravity
• Probing the radial acceleration relation and the strong equivalence principle with the Coma cluster ultra-diffuse galaxies
• Dipolar Dark Matter as an Effective Field Theory
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Combined Lorentz symmetry: lessons from superfluid 3He
• Acausality in Superfluid Dark Matter and MOND-like Theories
• Antimatter gravity and the Universe
• 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