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

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	Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time
	Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.; Zhou, B; Xu, Z; Huang, CG; Guo, HY; Tian, Y
刊名	PHYSICAL REVIEW D
	2005
卷号	71 期号:4 页码:-
关键词	Cosmological Constant Relativity Supernovae Kinematics Universe
ISSN号	0556-2821
英文摘要	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.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000227319800059
公开日期	2012-08-30
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/13890]
专题	理论物理研究所_理论物理所1978-2010年知识产出
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 , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.,Zhou, B,Xu, Z,et al. Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time[J]. PHYSICAL REVIEW D,2005,71(4):-.
APA	Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.,Zhou, B,Xu, Z,Huang, CG,Guo, HY,&Tian, Y.(2005).Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time.PHYSICAL REVIEW D,71(4),-.
MLA	Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.,et al."Mechanics and Newton-Cartan-like gravity on the Newton-Hooke space-time".PHYSICAL REVIEW D 71.4(2005):-.