论文标题
关于相对论点源的叠加
On superposition of relativistic point-sources
论文作者
论文摘要
一般相对性的非线性使至少不可能将相对论物质云视为由点源组成组成的，即使不是不可能，也至少很难。也许要绕过的最微妙的问题是固有的叠加概念固有的缺乏。即使人们相信，第一作者和第三作者的最新框架也会导致对点源的短语初始数据的适当解释，也有Prima Confie没有理由相信它将自己适合叠加原则。在本文中，我们提出了该框架的扩展，该框架是点源的事实上的叠加，并在极限内恢复了Brill-Lindquist指标。我们还表明，我们的建议可以看作是牛顿重力的经典叠加原则的连续扩展。本文符合更大的计划，即表示物质云作为点源的累积效应。
The non-linearity of general relativity makes it at least difficult if not impossible to view a relativistic cloud of matter as being made up of point-source constituents. Perhaps the most delicate issue to circumnavigate is the inherent lack of the classical notion of superposition. Even if one were to believe that the recent framework developed by the first and the third author leads to an appropriate interpretation of the phrase initial data for a point-source, there is prima facie no reason to believe that it lends itself to a principle of superposition. In this paper we propose an extension of said framework which serves as a de-facto superposition of point-sources and which recovers Brill-Lindquist metrics in the limit. We also show that our proposal can be seen as a continuous extension of the classical superposition principle of Newtonian gravity. This paper fits within a larger program of representing relativistic clouds of matter as cumulative effects of point-sources.
