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Hamiltonian analysis of 3-dimensional connection dynamics in bondi-like coordinates
Huang, Chao-Guang1; Kong, Shi-Bei
刊名Communications in theoretical physics
2017-08-01
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
DOI10.1088/0253-6102/68/2/227
通讯作者Huang, chao-guang(huangcg@ihep.ac.cn)
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.
WOS关键词NULL 2+2 DECOMPOSITION ; GENERAL-RELATIVITY ; ASHTEKAR VARIABLES ; QUANTUM-GRAVITY
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
语种英语
出版者IOP PUBLISHING LTD
WOS记录号WOS:000407707500013
内容类型期刊论文
URI标识http://www.corc.org.cn/handle/1471x/2176931
专题高能物理研究所
通讯作者Huang, Chao-Guang
作者单位1.Chinese Acad Sci, Inst High Energy Phys, Theoret Phys Div, Beijing 100049, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714
Huang, Chao-Guang,Kong, Shi-Bei. Hamiltonian analysis of 3-dimensional connection dynamics in bondi-like coordinates[J]. Communications in theoretical physics,2017,68(2):227-235.
APA Huang, Chao-Guang,&Kong, Shi-Bei.(2017).Hamiltonian analysis of 3-dimensional connection dynamics in bondi-like coordinates.Communications in theoretical physics,68(2),227-235.
MLA Huang, Chao-Guang,et al."Hamiltonian analysis of 3-dimensional connection dynamics in bondi-like coordinates".Communications in theoretical physics 68.2(2017):227-235.
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