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题名: Symmetry and special relativity in Finsler spacetime with constant curvature
作者: Li, X ;  Chang, Z
刊名: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
出版日期: 2012
卷号: 30, 期号:6, 页码:737-748
关键词: DARK-MATTER ;  GRAVITY ;  TIME ;  ELECTRODYNAMICS ;  SCENARIO ;  GEOMETRY ;  LENGTH
学科分类: Physics
通讯作者: Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Li, Xin] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Chang, Zhe] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China; [Li, Xin; Chang, Zhe] Chinese Acad Sci, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
英文摘要: Within the framework of projective geometry, we investigate kinematics and symmetry in (alpha, beta) spacetime one special types of Finsler spacetime. The projectively flat (alpha, beta) spacetime with constant flag curvature is divided into four types. The symmetry in type A-Riemann spacetime with constant sectional curvature-is just the one in de Sitter special relativity. The symmetry in type B-locally Minkowski spacetime-is just the one in very special relativity. It is found that type C-Funk spacetime and type D-scaled Berwald's metric spacetime both possess the Lorentz group as its isometric group. The geodesic equation, algebra and dispersion relation in the (alpha, beta) spacetime are given. The corresponding invariant special relativity in the four types of (alpha, beta) spacetime contain two parameters, the speed of light and a geometrical parameter, which may relate to the new physical scale. They all reduce to Einstein's special relativity while the geometrical parameter vanishes. (C) 2012 Elsevier B.V. All rights reserved.
资助者: NSF of China [10875129, 11075166, 11147176]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000313917800013
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14967
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Li, X,Chang, Z. Symmetry and special relativity in Finsler spacetime with constant curvature[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS,2012,30(6):737-748.
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