Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time

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	Tian, Y; Guo, HY; Huang, CG; Xu, Z; Zhou, B; Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
	Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time
发表期刊	PHYSICAL REVIEW D
关键词	Cosmological Constant Relativity Supernovae Kinematics Universe
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.
	2005
ISSN	0556-2821
卷号	71 期号:4 页码:-
学科领域	Physics
收录类别	SCI
引用统计	被引频次：26[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/311006/13890
专题	理论物理所科研产出_SCI论文
通讯作者	Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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]. PHYSICAL REVIEW D,2005,71(4):-.
APA	Tian, Y,Guo, HY,Huang, CG,Xu, Z,Zhou, B,&Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2005).Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time.PHYSICAL REVIEW D,71(4),-.
MLA	Tian, Y,et al."Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time".PHYSICAL REVIEW D 71.4(2005):-.

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