  We consider the $3$-dimensional relativistic Vlasov-Maxwell system with data
without compact support in momentum space. We prove two continuation criteria
for solutions to this system. First, we show that a regular solution can be
continued if the integral of the electromagnetic field along any characteristic
is assumed to be bounded. This can be viewed as a generalization of the
classical result of Glassey-Strauss (1986) to data with non-compact momentum
support. Second, we extend the methods in our companion paper (Part I) to show
that a regular solution can be extended as long as $\|\pel_0^{\th} f
\|_{L^q_xL^1_{\pel}}$ remains bounded for $\th>\frac 2q$, $2<q\leq \infty$.
This improves previous results of Pallard (2005).
