Hamiltonian Analysis of 3-Dimensional Connection Dynamics in Bondi-like Coordinates

doi:10.1088/0253-6102/68/2/227

	Hamiltonian Analysis of 3-Dimensional Connection Dynamics in Bondi-like Coordinates
	Kong, SB; Huang, CG; Kong SB(孔师碑); Huang CG(黄超光)
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS理论物理通讯
	2017
卷号	68 期号:2 页码:227-235
关键词	3d gravity Hamiltonian analysis connection dynamics Bondi-like coordinate system
ISSN号	0253-6102
DOI	10.1088/0253-6102/68/2/227
文献子类	Article
英文摘要	The Hamiltonian analysis for a 3-dimensional connection dynamics of so (1; 2), spanned by {L-+; L-2; L+2} instead of {L-01; L-02; L-12}, is first conducted in a Bondi-like coordinate system. The symmetry of the system is clearly presented. A null coframe with 3 independent variables and 9 connection coefficients are treated as basic configuration variables. All constraints and their consistency conditions, the solutions of Lagrange multipliers as well as the equations of motion are presented. There is no physical degree of freedom in the system. The Banados-Teitelboim-Zanelli (BTZ) spacetime is discussed as an example to check the analysis. Unlike the ADM formalism, where only non-degenerate geometries on slices are dealt with and the Ashtekar formalism, where non-degenerate geometries on slices are mainly concerned though the degenerate geometries may be studied as well, in the present formalism the geometries on the slices are always degenerate though the geometries for the spacetime are not degenerate.
电子版国际标准刊号	1572-9494
WOS关键词	NULL 2+2 DECOMPOSITION ; GENERAL-RELATIVITY ; ASHTEKAR VARIABLES ; QUANTUM-GRAVITY
WOS研究方向	Physics
语种	英语
CSCD记录号	CSCD:6039837
WOS记录号	WOS:000407707500013
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/284310]
专题	高能物理研究所_理论物理室
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Kong, SB,Huang, CG,Kong SB,et al. Hamiltonian Analysis of 3-Dimensional Connection Dynamics in Bondi-like Coordinates[J]. COMMUNICATIONS IN THEORETICAL PHYSICS理论物理通讯,2017,68(2):227-235.
APA	Kong, SB,Huang, CG,孔师碑,&黄超光.(2017).Hamiltonian Analysis of 3-Dimensional Connection Dynamics in Bondi-like Coordinates.COMMUNICATIONS IN THEORETICAL PHYSICS理论物理通讯,68(2),227-235.
MLA	Kong, SB,et al."Hamiltonian Analysis of 3-Dimensional Connection Dynamics in Bondi-like Coordinates".COMMUNICATIONS IN THEORETICAL PHYSICS理论物理通讯 68.2(2017):227-235.