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	Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time
	Tian, Y ; Guo, HY ; Huang, CG ; Xu, Z ; Zhou, B
	2010-05-06 ; 2010-05-06
关键词	COSMOLOGICAL CONSTANT RELATIVITY SUPERNOVAE KINEMATICS UNIVERSE Astronomy & Astrophysics Physics, Particles & Fields
中文摘要	We focus on the dynamical aspects on Newton-Hooke space-time NH+ mainly from the viewpoint of geometric contraction of the de Sitter spacetime with Beltrami metric. (The term spacetime is used to denote a space with non-degenerate metric, while the term space-time is used to denote a space with degenerate metric.) We first discuss the Newton-Hooke classical mechanics, especially the continuous medium mechanics, in this framework. Then, we establish a consistent theory of gravity on the Newton-Hooke space-time as a kind of Newton-Cartan-like theory, parallel to the Newton's gravity in the Galilei space-time. Finally, we give the Newton-Hooke invariant Schrodinger equation from the geometric contraction, where we can relate the conservative probability in some sense to the mass density in the Newton-Hooke continuous medium mechanics. Similar consideration may apply to the Newton-Hooke space-time NH- contracted from anti-de Sitter spacetime.
语种	英语 ; 英语
出版者	AMERICAN PHYSICAL SOC ; COLLEGE PK ; ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14381]
专题	清华大学
推荐引用方式 GB/T 7714	Tian, Y,Guo, HY,Huang, CG,et al. Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time[J],2010, 2010.
APA	Tian, Y,Guo, HY,Huang, CG,Xu, Z,&Zhou, B.(2010).Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time..
MLA	Tian, Y,et al."Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time".(2010).

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