  A comprehensive study of magnetoresistance and Hall effect has been performed
for the set of the single crystals of non-magnetic metal LuB12 with the
Jahn-Teller instability of the boron cage and dynamic charge stripes forming
along <110> direction. Anomalous positive contribution to Hall effect for
particular direction of magnetic field H//[001] is found in the single crystals
of LuB12 of the highest quality. This contribution arising at T~ 150 K is shown
to increase drastically when approaching the disordered ground state below 60
K. The Hall effect anomaly is shown to appear in combination with the peak of
magnetoresistance. The various scenarios allowing for the topology of Fermi
surface, anisotropy of relaxation time for charge carriers and the filamentary
structure of fluctuating charge stripes are proposed to explain the features of
magnetotransport in this metal with inhomogeneous distribution of electron
density. The origin of SdH oscillations, which are observed in this
non-equilibrium metal with electron phase separation and strong charge carrier
scattering, is discussed.
