| Lorentz symmetry is one of the most strict symmetry in modern physics. However, some physical phenomena suggest that Lorentz symmetry might be broken, as a result, with the deep investigation of Lorentz symmetry, Cohen and Glashow first gave a picture of breaking Lorentz symmetry in 2006We first introduce the space-time gauge theory with Lorentz group being the symmetry group. Based on the theory, we build HOM(2) space-time gauge theory with HOM(2) group as the subgroup of Lorentz group. During the procession, there will be an additional term on the right hand side of Einstein's equation. The term has a close relation with contorsion tensor. Even if no matter field exists, non-zero contorsion tensor will has some unknown contribution. Is this contribution a kind of matter field or quasi-matter field? If it is matter field, whether it is part of the dark matter or caused by unknown interaction between other matter? No matter which, the distribution of matter in the universe will be changed. Thus a very meaningful work. |
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