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Li, X; Chang, Z; Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
Symmetry and special relativity in Finsler spacetime with constant curvature
发表期刊DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
语种英语
关键词Dark-matter Gravity Time Electrodynamics Scenario Geometry Length
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.
2012
ISSN0926-2245
卷号30期号:6页码:737-748
学科领域Physics
收录类别SCI
项目资助者NSF of China [10875129, 11075166, 11147176] ; NSF of China [10875129, 11075166, 11147176] ; NSF of China [10875129, 11075166, 11147176] ; NSF of China [10875129, 11075166, 11147176]
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/14967
专题理论物理所科研产出_SCI论文
通讯作者Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
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GB/T 7714
Li, X,Chang, Z,Li, X . Symmetry and special relativity in Finsler spacetime with constant curvature[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS,2012,30(6):737-748.
APA Li, X,Chang, Z,&Li, X .(2012).Symmetry and special relativity in Finsler spacetime with constant curvature.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS,30(6),737-748.
MLA Li, X,et al."Symmetry and special relativity in Finsler spacetime with constant curvature".DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 30.6(2012):737-748.
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