  We study the effect of spontaneous Lorentz violation on neutrinos. We
consider two kinds of effects: static effects, where the neutrino acquires a
Lorentz-violating dispersion relation, and dynamic effects, which arise from
the interactions of the neutrino with the Goldstone boson of spontaneous
Lorentz violation. Static effects are well detailed in the literature. Here,
special emphasis is given to the novel dynamic effect of Goldstone-Cerenkov
radiation, where neutrinos moving with respect to a preferred rest frame can
spontaneously emit Goldstone bosons. We calculate the observable consequences
of this process and use them to derive experimental bounds from SN1987A and the
CMBR. The bounds derived from dynamic effects are complementary to - and in
many cases much stronger than - those obtained from static effects.
