Abstract
We study primordial tensor power-spectra generated during inflation in bimetric gravity. More precisely, we examine a homogeneous expanding spacetime in a minimal bimetric model with an inflaton and calculate tensor perturbations on the homogeneous background under slow-roll approximation. In terms of the mass eigenstates, only the power-spectrum of the massless state remains constant and both the power-spectrum of the massive state and the cross power-spectrum rapidly decay during inflation. The amplitude of the physical power-spectrum is suppressed due to the flavor mixing. All power-spectra in the flavor eigenstates coincide with each other up to the first order of the slow-roll parameter.
Highlights
We study primordial tensor power-spectra generated during inflation in bimetric gravity
One of important check points is if the predictions coming from inflation in bimetric gravity are consistent with cosmological observations which are getting more precise
We examined the homogeneous expanding solutions and their stability in the slowroll limit in our previous paper [6]
Summary
We construct inflationary background solutions with a scalar field coupled to the physical metric in bimetric gravity. We write a minimal bimetric action with a canonical scalar field. We substitute a homogeneous isotropic metric ansatz into the action and derive the equations of motion by using the variational principle. We mention the features of the solutions based on our analysis in our previous paper [6]
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