Knowledge Management System of Institute of Theoretical Physics, CAS
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 | |
Source Publication | PHYSICAL REVIEW D |
Keyword | Cosmological Constant Relativity Supernovae Kinematics Universe |
Abstract | 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 |
Volume | 71Issue:4Pages:- |
Subject Area | Physics |
Indexed By | SCI |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/13890 |
Collection | SCI期刊论文 |
Corresponding Author | Tian, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
Recommended Citation 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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