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

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（8）
• 页码范围: 227-235
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/0253-6102/68/2/227

摘要

The Hamiltonian analysis for a 3-dimensional connection dynamics of so(1,2),spanned by {L-+,L-2,L+2}instead of {L01,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 coeffcients 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 Ba(n)ados 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 delt 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.