Lorentz Violation As The Possible Origin Of Dark Effect At Large Scale

Accelerating expansion of the universe can be described by positive cosmological constants or dark energy.Correspondingly,galaxy rotation curves can be described by dark matter with big mass and weak interacting.However,the origin of dark energy and dark matter is still a great mystery of modern physics.On the one hand,all quantum gravity models predict the breaking of the Lorentz symmetry.The partial Lorentz break caused by quantum gravity in the early universe may be amplified by inflation into the current universe.Combining various anomalies on the cosmological scale,we propose that the local Lorentz invariance may be destroyed at the cosmic scale;further,considering the dark matter effect at the galaxy scale,we analogously believe that Lorentz violation also exist at the galaxy scale.We use a local SO(3)symmetry to construct the effective gravity on both the cosmic and galaxy scales.Even for scalar material sources,the theory shows nontrivial contortion distributions.We use the solutions of a FRW-like metric and the spherical symmetry static metric to shows that the distribution of the contortion contributes an effect similar to that of dark energy,which can cause the universe to accelerate the expansion,but the effect of dark matter cannot be obtained at the galaxy scale.