Continuity equations for general matter: applications in numerical relativity
Continuity equations for general matter: applications in numerical relativity
复制标题
一般物质的连续性方程：在数值相对论中的应用
DOI：
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发表时间：
2021
影响因子：
3.5
通讯作者：
K. Clough
中科院分区：
文献类型：
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作者：
K. Clough
由于在一般的弯曲时空中，在时间和空间平移下不存在对称性，物质的能量和动量不像在平坦空间中那样守恒。这意味着，例如，通过表面的物质能量通量通常不会被封闭体积内物质能量的相等增加所平衡-存在一个额外的“源”，这是由作用于物质的时空曲率引起的（反之亦然）。人们可以计算这个源项，并在任意体积中调和通量和能量随时间的积累，尽管必须选择时空的叶理，使这些量固有地依赖于坐标。尽管有这种依赖性，这些量在数值相对论模拟中实际上是有用的，原因有很多。我们提供了一般物质源的表达式在阿诺维茨Deser Misner分解的形式适合实施，并讨论了几个应用程序在模拟紧凑的对象动力学和宇宙学。
Due to the absence of symmetries under time and spatial translations in a general curved spacetime, the energy and momentum of matter is not conserved as it is in flat space. This means, for example, that the flux of matter energy through a surface is in general not balanced by an equal increase in the energy of the matter contained within the enclosed volume—there is an additional ‘source’ resulting from the curvature of spacetime acting on the matter (and vice versa). One can calculate this source term and reconcile the flux and energy accumulation over time in an arbitrary volume, although a foliation of the spacetime must be chosen, making the quantities inherently coordinate dependent. Despite this dependence, these quantities are practically useful in numerical relativity simulations for a number of reasons. We provide expressions for general matter sources in a form appropriate for implementation in the Arnowitt Deser Misner decomposition, and discuss several applications in simulations of compact object dynamics and cosmology.
影响因子：
5
作者：
D. Traykova;K. Clough;T. Helfer;E. Berti;P. Ferreira;L. Hui
通讯作者：
D. Traykova;K. Clough;T. Helfer;E. Berti;P. Ferreira;L. Hui