Observer dependence of angular momentum in general relativity and its relationship to the gravitational-wave memory effect
Observer dependence of angular momentum in general relativity and its relationship to the gravitational-wave memory effect
复制标题
广义相对论中角动量的观察者依赖性及其与引力波记忆效应的关系
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
D. Nichols
中科院分区：
文献类型：
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作者：
'. Flanagan;D. Nichols
我们定义了一个过程，通过该过程，观测者可以仅使用弯曲时空中该点附近的时空几何来测量该类狭义相对论线性和角动量$(P^a, J^{ab})$。选择该方法是为了在接近未来零无穷大的静止时空中得到常规结果。
We define a procedure by which observers can measure a type of special-relativistic linear and angular momentum $(P^a, J^{ab})$ at a point in a curved spacetime using only the spacetime geometry in a neighborhood of that point. The method is chosen to yield the conventional results in stationary spacetimes near future null infinity.
We also explore the extent to which spatially separated observers can compare the values of angular momentum that they measure and find consistent results. We define a generalization of parallel transport along curves which gives a prescription for transporting values of angular momentum along curves that yields the correct result in special relativity. If observers use this prescription, then they will find that the angular momenta they measure are observer dependent, because of the effects of spacetime curvature. The observer dependence can be quantified by a kind of generalized holonomy. We show that bursts of gravitational waves with memory generically give rise to a nontrivial generalized holonomy: there is, in this context, a close relation between the observer dependence of angular momentum and the gravitational-wave memory effect.