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Symmetry and special relativity in Finsler spacetime with constant curvature
Li, X; Chang, Z; Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
2012
发表期刊DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
ISSN0926-2245
卷号30期号:6页码:737-748
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.
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
关键词Dark-matter Gravity Time Electrodynamics Scenario Geometry Length
学科领域Physics
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] ; 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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收录类别SCI
语种英语
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] ; NSF of China [10875129, 11075166, 11147176] ; NSF of China [10875129, 11075166, 11147176] ; NSF of China [10875129, 11075166, 11147176] ; NSF of China [10875129, 11075166, 11147176]
WOS记录号WOS:000313917800013
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被引频次:18[WOS]   [WOS记录]     [WOS相关记录]
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SCI论文
通讯作者Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
推荐引用方式
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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