Bondian框架将物质与辐射耦合
Bondian frames to couple matter with radiation
摘要：
研究了无质量标量场与物质自引力场耦合的非线性演化。数值相对论的特征公式被用来跟踪一系列向未来开放的光锥的演化。邦德标架被用来赋予物质变量和无质量标量场物理意义。渐近方法的起源和无穷大的实现，在边界表面的内部和外部的解决方案相匹配，保证Darmois-Lichnerowicz条件。为了说明该方案是如何工作的一些数值模型进行了讨论。我们研究了在下列固定背景下演化的标量波：A）不可压缩混合流体边界面与无穷远之间的大气层; B）与Schwarzschild外部匹配的多方分布; C）Schwarzschild-Schwarzschild时空。观察到了能量的能量守恒、Newman-Penrose常数的保持和其他预期的特性。
英文摘要：
A study is presented for the non linear evolution of a self gravitating distribution of matter coupled to a massless scalar field. The characteristic formulation for numerical relativity is used to follow the evolution by a sequence of light cones open to the future. Bondian frames are used to endow physical meaning to the matter variables and to the massless scalar field. Asymptotic approaches to the origin and to infinity are achieved; at the boundary surface interior and exterior solutions are matched guaranteeing the Darmois--Lichnerowicz conditions. To show how the scheme works some numerical models are discussed. We exemplify evolving scalar waves on the following fixed backgrounds: A) an atmosphere between the boundary surface of an incompressible mixtured fluid and infinity; B) a polytropic distribution matched to a Schwarzschild exterior; C) a Schwarzschild- Schwarzschild spacetime. The conservation of energy, the Newman--Penrose constant preservation and other expected features are observed.
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