  The dipole anomaly in the power spectrum of CMB may indicate that the Lorentz
boost invarianc is violated at cosmic scale. We assume that the Lorentz
symmetry is violated partly from the scale of galaxy. We employ the symmetry of
very special relativity as an example to illustrate the Lorentz violation
effect by constructing the corresponding gauge theories as the effective
gravitational theory at the large scale. We find the common feather of these
gravitation models is the non-triviality of spacetime torsion and contorsion
even if the matter source is of only scalar matter. The presence of non-trivial
contorsion contributes an effective enenrgy-momentum distribution which may
account for part of dark matter effect.
