论文标题
一般相对论中的保守数量 - 无效无穷大的视图
Conserved quantities in general relativity -- the view from null infinity
论文作者
论文摘要
总体而言，一个理想化的远处观察者位于未来的无效无穷大，那里的光线从源方法发出。本文涉及诸如未来无效无穷大的质量，能量摩托车，角动量和质量中心等保守数量。 Bondi质量在未来无限的经典定义确定了引力波中辐射的质量。然而，自1960年代发现“超级译本歧义”以来，其他保守数量（例如角动量）也是一个微妙的问题。最近，提出了角动量和质量中心的新定义，并证明没有这种歧义[12,14]。这些新的定义是作为陈 - 瓦 - 杨准保守量的限制，这些量基于最佳等距嵌入理论和王的准质量质量。本说明的目的是讨论这些最近的发展
In general relativity, an idealized distant observer is situated at future null infinity where light rays emitted from the source approach. This article concerns conserved quantities such as mass, energy-momentum, angular momentum, and center of mass at future null infinity. The classical definitions of Bondi mass at future null infinity ascertains the mass radiated away in gravitational waves distinctively. However, the same question for other conserved quantities such as angular momentum has been a subtle issue since the discovery of "supertranslation ambiguity" in the 1960's. Recently, new definitions of angular momentum and center of mass were proposed and proved to be free of such ambiguity [12,14]. These new definitions arise as limits of the Chen-Wang-Yau quasilocal conserved quantities, which are based on the theory of optimal isometric embedding and quasilocal mass of Wang-Yau. It is the purpose of this note to discuss these recent developments
