We present the formalism for the covariant treatment of gravitational
radiation in a magnetized environment and discuss the implications of the field
for gravity waves in the cosmological context. Our geometrical approach brings
to the fore the tension properties of the magnetic force lines and reveals
their intricate interconnection to the spatial geometry of a magnetised
spacetime. We show how the generic anisotropy of the field can act as a source
of gravitational wave perturbations and how, depending on the spatial curvature
distortion, the magnetic tension can boost or suppress waves passing through a
magnetized region.Comment: Minor changes. References added. To appear in Class. Quantum Gra