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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; Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2005
发表期刊PHYSICAL REVIEW D
ISSN0556-2821
卷号71期号:4页码:-
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.
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; CCAST, World Lab, Beijing 100080, Peoples R China; Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China; Tsing Hua Univ, Dept Phys, Beijing 100084, Peoples R China; Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China; Chinese Acad Sci, Interdisciplinary Ctr Theoret Studies, Beijing 100080, Peoples R China
关键词Cosmological Constant Relativity Supernovae Kinematics Universe
学科领域Physics
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收录类别SCI
WOS记录号WOS:000227319800059
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被引频次:25[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SCI论文
通讯作者Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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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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