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

作　　者：黄超光 孔师碑 

机构地区：[1]Theoretical Physics Division, Institute of High Energy Physics, Chinese Academy of Sciences [2]University of Chinese Academy of Sciences

出　　处：《Communications in Theoretical Physics》2017年第8期227-235,共9页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant Nos.11275207 and 11690022

摘　　要：The Hamiltonian analysis for a 3-dimensional connection dynamics of o（1, 2）, spanned by {L-＋, L-2, L＋2） instead of {Lol, L02, L12}, 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 Bafiados-Teitelboim-Zanelli （BTZ） spaeetime 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.

关 键 词：3d gravity Hamiltonian analysis connection dynamics Bondi-like coordinate system 

分 类 号：O41[理学—理论物理]