Conformal and projective symmetries in Newtonian cosmology
文献类型：期刊论文
| 作者 | Duval, C.1,2,3; Gibbons, G. W.4; Horvathy, P. A.5,6 |
| 刊名 | JOURNAL OF GEOMETRY AND PHYSICS
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 112页码:197-209 |
| 关键词 | Conformal Newton-Carton group Conformal Bargmann group Newtonian cosmology Newton-Hooke solution |
| ISSN号 | 0393-0440 |
| DOI | 10.1016/j.geomphys.2016.11.012 |
| 英文摘要 | Definitions of non-relativistic conformal transformations are considered both in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann geometrical frameworks. The symmetry groups that come into play are exemplified by the cosmological, and also the Newton-Hooke solutions of Newton's gravitational field equations. It is shown, in particular, that the maximal symmetry group of the standard cosmological model is isomorphic to the 13-dimensional conformal-Newton-Cartan group whose conformal-Bargmann extension is explicitly worked out. Attention is drawn to the appearance of independent space and time dilations, in contrast with the Schrodinger group or the Conformal Galilei Algebra. (C) 2016 Elsevier B.V. All rights reserved. |
| WOS关键词 | KINEMATICAL INVARIANCE GROUP ; CHRONOPROJECTIVE GEOMETRY ; HARMONIC-OSCILLATOR ; SCHRODINGER ; GRAVITATION ; DYNAMICS ; SYSTEMS ; FLUID ; WAVES ; TIME |
| 资助项目 | Chinese Academy of Sciences' Presidential International Fellowship[2010T1J06] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000392037900012 |
| 出版者 | ELSEVIER SCIENCE BV |
| 资助机构 | Chinese Academy of Sciences' Presidential International Fellowship |
| 源URL | [http://119.78.100.186/handle/113462/44208]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Duval, C. |
| 作者单位 | 1.Aix Marseille Univ, Ctr Phys Theor, Case 907, F-13288 Marseille, France 2.Univ Toulon & Var, Case 907, F-13288 Marseille, France 3.CNRS, UMR 7332, Case 907, F-13288 Marseille, France 4.Univ Cambridge, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England 5.Univ Tours, Lab Math & Phys Theor, Tours, France 6.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China |
| 推荐引用方式 GB/T 7714 | Duval, C.,Gibbons, G. W.,Horvathy, P. A.. Conformal and projective symmetries in Newtonian cosmology[J]. JOURNAL OF GEOMETRY AND PHYSICS,2017,112:197-209. |
| APA | Duval, C.,Gibbons, G. W.,&Horvathy, P. A..(2017).Conformal and projective symmetries in Newtonian cosmology.JOURNAL OF GEOMETRY AND PHYSICS,112,197-209. |
| MLA | Duval, C.,et al."Conformal and projective symmetries in Newtonian cosmology".JOURNAL OF GEOMETRY AND PHYSICS 112(2017):197-209. |
入库方式： OAI收割
来源：近代物理研究所
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