Conformal and projective symmetries in Newtonian cosmology

doi:10.1016/j.geomphys.2016.11.012

	Conformal and projective symmetries in Newtonian cosmology
	Duval, C.1,2,3; Gibbons, G. W.4; Horvathy, P. A.5,6
刊名	JOURNAL OF GEOMETRY AND PHYSICS
	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.
资助项目	Chinese Academy of Sciences' Presidential International Fellowship[2010T1J06]
WOS关键词	KINEMATICAL INVARIANCE GROUP ; CHRONOPROJECTIVE GEOMETRY ; HARMONIC-OSCILLATOR ; SCHRODINGER ; GRAVITATION ; DYNAMICS ; SYSTEMS ; FLUID ; WAVES ; TIME
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000392037900012
资助机构	Chinese Academy of Sciences' Presidential International Fellowship
内容类型	期刊论文
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.