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 (18)

• A direct empirical proof of the existence of dark matter
• Resummation of Massive Gravity
• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Interacting Spin-2 Fields
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Bimetric MOND gravity
• Cosmic Acceleration and the Helicity-0 Graviton
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• On couplings to matter in massive (bi-)gravity
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• 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
• Cosmology of the proxy theory to massive gravity
• Quantum corrections in massive bigravity and new effective composite metrics
• Phenomenology of MOND and gravitational polarization

Cited by in corpus (2)

• Hamiltonian cosmology in bigravity and massive gravity
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores