  We investigate electromagnetic, gravitational, and plasma related
perturbations to first order on homogeneous and hypersurface orthogonal locally
rotationally symmetric (LRS) class II spacetimes. Due to the anisotropic nature
of the studied backgrounds, we are able to include a non-zero magnetic field to
zeroth order. As a result of this inclusion, we find interesting interactions
between the electromagnetic and gravitational variables already to first order
in the perturbations. The equations governing these perturbations are found by
using the Ricci identities, the Bianchi identities, Einstein's field equations,
Maxwell's equations, particle conservation, and a form of energy-momentum
conservation for the plasma components. Using a $1+1+2$ covariant split of
spacetime, the studied quantities and equations are decomposed with respect to
the preferred directions on the background spacetimes. After linearizing the
decomposed equations around a LRS background, performing a harmonic
decomposition, and imposing the cold magnetohydrodynamic (MHD) limit with a
finite electrical resistivity, the system is then reduced to a set of ordinary
differential equations in time and some constraints. On solving for some of the
harmonic coefficients in terms of the others, the system is found to decouple
into two closed and independent subsectors. Through numerical calculations, we
then observe some mechanisms for generating magnetic field perturbations,
showing some traits similar to previous works using FLRW backgrounds.
Furthermore, beat-like patterns are observed in the short wave length limit due
to interference between gravitational waves and plasmonic modes.

General Relativity and Quantum Cosmology