Abstract
We show that the coherent oscillations of a spin-2 field from bimetric theory can easily account for the observed dark matter abundance. We obtain the equation of motion for the field in a cosmological setting and discuss in detail the phenomenology of the model. The framework is testable in precision measurements of oscillating electric charge in atomic clocks, using atomic spectroscopy and in dedicated resonant mass detectors as well as in axion-like-particles experiments, which therefore provide a new window to probe and test gravity itself. We also comment on possible multimetric extensions of the framework that straightforwardly implement the clockwork mechanism for gravity.
Highlights
Published by the American Physical SocietyTerms for fμν and gμν, the first line of Eq (1) harbors the interaction potential Vðg; f; βnÞ
The presence of dark matter (DM) in our Universe is inferred purely from its gravitational effects [1,2], availing the idea that an extended theory of gravity manifests itself in this mysterious component
It is not yet known whether these new fields could play the role of DM, as their production mechanisms and, most importantly, their phenomenology have not been investigated in detail
Summary
Terms for fμν and gμν, the first line of Eq (1) harbors the interaction potential Vðg; f; βnÞ. This contains five dimensionless parameters βn, n ∈ 1⁄20; 4, and is engineered around the requirement that no propagating ghost degrees of freedom appear in the theory [4,24,25]. M2Þ; ð8Þ pwhffiffieffiffiffirffieffiffiffiffiffiffiffiwffiffiffieffiffiffiffiffiffiffiiffidffiffiffientified the Fierz-Pauli mass mFP ≔ β1 þ 2β2 þ β3MP for the spin-2 field Mμν. Recasting Eq (1) in terms of the mass eigenstates Gμν and Mμν makes the field content of the theory explicit. We have an additional spin-2 field, Mμν, characterized by a Fierz-Pauli mass mFP induced by the interaction potential V.
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