The angular momentum of the gravitational field and the Poincaré group
The angular momentum of the gravitational field and the Poincaré group
复制标题
引力场的角动量和庞加莱群
DOI：
10.1088/0264-9381/23/22/011
复制
发表时间：
2006
影响因子：
3.5
通讯作者：
J. F. Rocha
中科院分区：
文献类型：
--
作者：
J. Maluf;S. Ulhoa;F F Faria;J. F. Rocha
我们重新定义的引力角动量的框架内的远程平行等效的广义相对论。与引力能动量类似，引力角动量的新定义与坐标无关。通过考虑该理论相空间中的泊松括号，我们发现引力能动量和角动量对应于庞加莱群的一个表示。这个结果使我们能够定义引力场的Casimir型不变量。
We redefine the gravitational angular momentum in the framework of the teleparallel equivalent of general relativity. Similar to the gravitational energy–momentum, the new definition for the gravitational angular momentum is coordinate independent. By considering the Poisson brackets in the phase space of the theory, we find that the gravitational energy–momentum and angular momentum correspond to a representation of the Poincaré group. This result allows us to define Casimir type invariants for the gravitational field.