Symmetry and special relativity in Finsler spacetime with constant curvature

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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
ISSN	0926-2245
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]
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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]
WOS记录号	WOS:000313917800013
引用统计	被引频次：17[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2012年知识产出
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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