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
刊名	DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
	2012
卷号	30 期号:6 页码:737-748
关键词	DARK-MATTER GRAVITY TIME ELECTRODYNAMICS SCENARIO GEOMETRY LENGTH
ISSN号	0926-2245
通讯作者	Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, 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.
学科主题	Physics
收录类别	SCI
资助信息	NSF of China [10875129, 11075166, 11147176]
原文出处	http://dx.doi.org/10.1016/j.difgeo.2012.07.009
语种	英语
WOS记录号	WOS:000313917800013
公开日期	2014-04-24
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/14967]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	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.
APA	Li, X,&Chang, Z.(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.