Large Scale Lorentz Violation Gravity and Dark Energy
  The accelerating expansion of universe can be described by the non-zero
cosmological constant or the dark energy. However, the origin of the dark
energy remains a mystery of modern physics. The local Lorentz invariance is the
most exact symmetry of the Nature on the one hand, but all quantum gravity
theories predict Lorentz violation on the other hand. The local Lorentz
violation induced by the quantum gravity at the very early universe may be
transformed into large scale by inflation. Combining the low-$l$ anomalies of
the CMB spectrum, we propose that the local Lorentz invariance may be broken at
the large scale. We construct the effective gravity at the cosmic scale with a
local $SO(3)$ symmetry. The theory exhibits non-trivial contortion distribution
even with scalar matter source. The FRW like solution of the theory is analyzed
and the contortion distribution contributes a dark energy like effect which is
responsible for the accelerating expansion of the universe. It reveals that the
dark energy may be the remnants of quantum gravity in this sense.
