  In this work, we consider the relativistic Vlasov-Maxwell system, linearized
around a spatially homogeneous equilibrium, set in the whole space
$\mathbb{R}^3 \times \mathbb{R}^3$. The equilibrium is assumed to belong to a
class of radial, smooth, rapidly decaying functions. Under appropriate
conditions on the initial data, we prove algebraic decay (of dispersive nature)
for the electromagnetic field. For the electric scalar potential, the leading
behavior is driven by a dispersive wave packet with non-degenerate phase and
compactly supported amplitude, while for the magnetic vector potential, it is
driven by a wave packet whose phase behaves globally like the one of
Klein-Gordon and the amplitude has unbounded support.
