Dark Matter via Massive (bi-)Gravity

Abstract

In this work we investigate the existence of relativistic models for dark matter in the context of bimetric gravity, used here to reproduce the modified Newtonian dynamics (MOND) at galactic scales. For this purpose we consider two different species of dark matter particles that separately couple to the two metrics of bigravity. These two sectors are linked together \textit{via} an internal $U(1)$ vector field, and some effective composite metric built out of the two metrics. Among possible models only certain classes of kinetic and interaction terms are allowed without invoking ghost degrees of freedom. Along these lines we explore the number of allowed kinetic terms in the theory and point out the presence of ghosts in a previous model. Finally, we propose a promising class of ghost-free candidate theories that could provide the MOND phenomenology at galactic scales while reproducing the standard cold dark matter (CDM) model at cosmological scales.

7 pages, references added, typos corrected, journal version

References in corpus (45)

• Particle Dark Matter: Evidence, Candidates and Constraints
• A direct empirical proof of the existence of dark matter
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• Relativistic gravitation theory for the MOND paradigm
• Generalization of the Fierz-Pauli Action
• Massive Gravity
• Covariant Galileon
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Bimetric Gravity from Ghost-free Massive Gravity
• The Baryonic Tully-Fisher Relation
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Generalization of the Proca Action
• Massive Cosmologies
• Modifying gravity with the Aether: an alternative to Dark Matter
• Interacting Spin-2 Fields
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Cosmic Acceleration from Abelian Symmetry Breaking
• Bimetric MOND gravity
• Cosmic Acceleration and the Helicity-0 Graviton
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• Cosmology of the Galileon from Massive Gravity
• On couplings to matter in massive (bi-)gravity
• A stratified framework for scalar-tensor theories of Modified Dynamics
• A tensor-vector-scalar framework for modified dynamics and cosmic dark matter
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• Vector theories in cosmology
• New constraints on MOND from galaxy clusters
• Improving relativistic MOND with Galileon k-mouflage
• X-ray Group and cluster mass profiles in MOND: Unexplained mass on the group scale
• 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
• Dipolar Dark Matter and Dark Energy
• Stability of Horndeski vector-tensor interactions
• Cosmology of the proxy theory to massive gravity
• Cosmic vector for dark energy: constraints from SN, CMB and BAO
• Quantum corrections in massive bigravity and new effective composite metrics
• 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
• Screening Vector Field Modifications of General Relativity
• Can a non-local model of gravity reproduce Dark Matter effects in agreement with MOND?
• Phenomenology of MOND and gravitational polarization

Cited by in corpus (39)

• A systematic approach to generalisations of General Relativity and their cosmological implications
• A new relativistic theory for Modified Newtonian Dynamics
• Recent developments in bimetric theory
• Combined Solar System and rotation curve constraints on MOND
• Non-linear extension of non-metricity scalar for MOND
• Phenomenological consequences of superfluid dark matter with baryon-phonon coupling
• Vielbein to the Rescue?
• Cosmology for quadratic gravity in generalized Weyl geometry
• Galaxy Clusters in the Context of Superfluid Dark Matter
• Stellar streams as gravitational experiments I. The case of Sagittarius
• Higher dimensional nonlinear massive gravity
• Emergence of the mass discrepancy-acceleration relation from dark matter-baryon interactions
• Dipolar Dark Matter with Massive Bigravity
• More on effective composite metrics
• Higher dimensional massive bigravity
• Non-minimal derivative couplings of the composite metric
• New massive bigravity cosmologies with double matter coupling
• Aether scalar tensor theory: Linear stability on Minkowski space
• Bimetric-Affine Quadratic Gravity
• Extracting Bigravity from String Theory
• Dark Matter Superfluidity
• Cascading dust inflation in Born-Infeld gravity
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
• Matter coupling in partially constrained vielbein formulation of massive gravity
• Dipolar Dark Matter as an Effective Field Theory
• Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology
• Baryon-Interacting Dark Matter: heating dark matter and the emergence of galaxy scaling relations
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Cosmology in massive gravity with effective composite metric
• Cosmology in doubly coupled massive gravity: constraints from SNIa, BAO and CMB
• New Quasidilaton theory in Partially Constrained Vielbein Formalism
• Derivative couplings in massive bigravity
• Stealth black holes in Aether Scalar Tensor theory
• Hamiltonian cosmology in bigravity and massive gravity
• Doubly coupled matter fields in massive bigravity
• Absence of gravitational polarization mechanism in the canonical bimetric theory
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Dipolar perturbations of nonbidiagonal black holes in bigravity