Symmetries in a very special relativity and isometric group of Finsler space

LI Xin; CHANG Zhe; MO Xiao-Huan

doi:10.1088/1674-1137/35/6/004

Chinese Physics C> 2011, Vol. 35> Issue(6) : 535-538 DOI: 10.1088/1674-1137/35/6/004

Symmetries in a very special relativity and isometric group of Finsler space

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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.

References

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LI Xin, CHANG Zhe and MO Xiao-Huan. Symmetries in a very special relativity and isometric group of Finsler space[J]. Chinese Physics C, 2011, 35(6): 535-538. doi: 10.1088/1674-1137/35/6/004

LI Xin, CHANG Zhe and MO Xiao-Huan. Symmetries in a very special relativity and isometric group of Finsler space[J]. Chinese Physics C, 2011, 35(6): 535-538. doi: 10.1088/1674-1137/35/6/004 shu

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Received: 2010-09-26
Revised: 2010-10-12

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沈阳化工大学材料科学与工程学院沈阳 110142

Symmetries in a very special relativity and isometric group of Finsler space

Received Date: 2010-09-26

Accepted Date: 2010-10-12

Available Online: 2011-06-05

Abstract: 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.

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Symmetries in a very special relativity and isometric group of Finsler space

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Symmetries in a very special relativity and isometric group of Finsler space

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