Hamiltonian analysis of 4-dimensional spacetime in Bondi-like coordinates
文献类型：期刊论文
| 作者 | Kong SB(孔师碑) ; Huang CG(黄超光); Kong, SB; Huang, CG
|
| 刊名 | CHINESE PHYSICS C
 |
| 出版日期 | 2018 |
| 卷号 | 42期号:10页码:105101 |
| 关键词 | Hamiltonian analysis 4d gravity Bondi-like coordinates |
| ISSN号 | 1674-1137 |
| DOI | 10.1088/1674-1137/42/10/105101 |
| 文献子类 | Article |
| 英文摘要 | We discuss the Hamiltonian formulation of gravity in four-dimensional spacetime under Bondi-like coordinates {v,r,x(a) ,a=2,3}. In Bondi-like coordinates, the three-dimensional hypersurface is a null hypersurface, and the evolution direction is the advanced time v. The internal symmetry group SO(1,3) of the four-dimensional spacetime is decomposed into SO(1,1), SO(2), and T-+/- (2), whose Lie algebra so(1,3) is decomposed into so(1,1), so(2), and t(+/-) (2) correspondingly. The SO(1,1) symmetry is very obvious in this type of decomposition, which is very useful in so(1,1) BF theory. General relativity can be reformulated as the four-dimensional coframe (e(mu)(I)) and connection (omega(I J)(mu)) dynamics of gravity based on this type of decomposition in the Bondi-like coordinate system. The coframe consists of two null 1-forms e(-), e(+) and two spacelike 1-forms e(2), e(3). The Palatini action is used. The Hamiltonian analysis is conducted by Dirac's methods. The consistency analysis of constraints has been done completely. Among the constraints, there are two scalar constraints and one two-dimensional vector constraint. The torsion-free conditions are acquired from the consistency conditions of the primary constraints about pi(mu)(I J). The consistency conditions of the primary constraints pi(0)(I J)= 0 can be reformulated as Gauss constraints. The conditions of the Lagrange multipliers have been acquired. The Poisson brackets among the constraints have been calculated. There are 46 constraints including 6 first-class constraints & nbsp;pi(0)(I J) =0 and 40 second-class constraints. The local physical degrees of freedom is 2. The integrability conditions of Lagrange multipliers n(0), l(0), and e(0)(A) are Ricci identities. The equations of motion of the canonical variables have also been shown. |
| 电子版国际标准刊号 | 2058-6132 |
| WOS关键词 | NULL 2+2 DECOMPOSITION ; GENERAL-RELATIVITY ; GRAVITATIONAL WAVES ; ASHTEKAR VARIABLES ; SURFACE |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| CSCD记录号 | CSCD:6342996 |
| WOS记录号 | WOS:000446794300016 |
| 源URL | [http://ir.ihep.ac.cn/handle/311005/286406]  |
| 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 4-dimensional spacetime in Bondi-like coordinates[J]. CHINESE PHYSICS C,2018,42(10):105101. |
| APA | 孔师碑,黄超光,Kong, SB,&Huang, CG.(2018).Hamiltonian analysis of 4-dimensional spacetime in Bondi-like coordinates.CHINESE PHYSICS C,42(10),105101. |
| MLA | 孔师碑,et al."Hamiltonian analysis of 4-dimensional spacetime in Bondi-like coordinates".CHINESE PHYSICS C 42.10(2018):105101. |
入库方式： OAI收割
来源：高能物理研究所
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