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There has been considerable interest in the community to understand if theEinstein and Jordan frames are either physically equivalent to each other or ifthere exists a preference frame where interpretations of physical observablesshould be done. In this paper, we want to broaden the discussion about thisequivalence by making a detailed side-by-side comparison of the physicalquantities in both frames in the context of cosmic magnetogenesis. We havecomputed the evolution of the vector potential in each frame along with someobservables such as the spectral index, and the magnetic field amplitude. Wefound that contrary to the Einstein frame, the electric and magnetic energydensities in Jordan Frame do not depend on any parameter associated with thescalar field. Furthermore, in the Einstein frame and assuming scale-invariantfor the magnetic field, most of the total energy density contribution comesfrom the electric and magnetic densities. Finally, we show the ratio betweenmagnetic field signals in both frames printed in the CMB. We expect that theresults presented contribute to the ongoing discussion on the relation betweenthese two frames.

About Jordan and Einstein frames: a study in inflationary magnetogenesis