We present an explicit connection between the symmetries in a Very Special Relativity （VSR） and isometric group of a specific Finsler space. It is shown that the line element that is invariant under the VSR symmetri...We present an explicit connection between the symmetries in a Very Special Relativity （VSR） and isometric group of a specific Finsler space. It is shown that the line element that is invariant under the VSR symmetric group is a Finslerian one. The Killing vectors in Finsler space are constructed in a systematic way. The Lie algebras corresponding to the symmetries of VSR are obtained from a geometric famework. The dispersion relation and the Lorentz invariance violation effect in the VSR are discussed.展开更多
基金Supported by National Natural Science Foundation of China (10525522, 10875129, 10771004)
文摘We present an explicit connection between the symmetries in a Very Special Relativity （VSR） and isometric group of a specific Finsler space. It is shown that the line element that is invariant under the VSR symmetric group is a Finslerian one. The Killing vectors in Finsler space are constructed in a systematic way. The Lie algebras corresponding to the symmetries of VSR are obtained from a geometric famework. The dispersion relation and the Lorentz invariance violation effect in the VSR are discussed.
