Absence of gravitational polarization mechanism in the canonical bimetric theory

TL;DR

This paper demonstrates that the canonical bimetric theory cannot produce gravitational polarization, explaining why it fails to replicate MOND-like behavior at low energies.

Contribution

It provides a detailed analysis showing the fundamental obstacle preventing gravitational polarization in the canonical bimetric theory.

Findings

Canonical bimetric theory cannot achieve gravitational polarization

Fails to recover MOND phenomenology at low energies

Identifies fundamental theoretical obstacle

Abstract

Motivated by a version of the ``Dipolar Dark Matter'' model, that aims at a relativistic completion of the phenomenology of MOND, we investigate the gravitational polarization mechanism in the canonical bimetric theory with an effective matter coupling. We explicitly show the fundamental obstacle why such theories cannot achieve a consistent gravitational polarization, and thus fail to recover the MONDian phenomenology at low energies.