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We consider anisotropic magnetized cosmologies filled with conductive plasmafluid and study the implications of metric perturbations that propagateparallel to the ambient magnetic field. It is known that in the first order(linear) approximation with respect to the amplitude of the perturbations noelectric field and density perturbations arise. However, when we consider thenon-linear coupling of the metric perturbations with their temporalderivatives, certain classes of solutions can induce steeply increasing in timeelectric field perturbations. This is verified both numerically andanalytically. The source of these perturbations can be either high-frequencyquantum vacuum fluctuations, driven by the cosmological pump field, in theearly stages of the evolution of the Universe or astrophysical processes or anon-linear isotropization process of an initially anisotropic cosmologicalspacetime.

Alfven modes driven non-linearly by metric perturbations in anisotropic magnetized cosmologies