  The chiral anomaly may be realized in condensed matter systems with pairs of
Weyl points. Here we show that the chiral anomaly can be realized in diverse
noncentrosymmetric systems even without Weyl point pairs when spin-orbit
coupling induces nonzero Berry curvature flux through Fermi surfaces. This
motivates the condensed matter chiral anomaly to be interpreted as a Fermi
surface property rather than a Weyl point property. The
spin-orbit-coupling-induced anomaly reproduces the well-known charge transport
properties of the chiral anomaly such as the negative longitudinal
magnetoresistance and the planar Hall effect in Weyl semimetals. Since it is of
spin-orbit coupling origin, it also affects the spin transport and gives rise
to anomaly-induced longitudinal spin currents and the magnetic spin Hall
effect, which are absent in conventional Weyl semimetals.
