Covariant formulations of Baumgarte, Shapiro, Shibata, and Nakamura and the standard gauge
Covariant formulations of Baumgarte, Shapiro, Shibata, and Nakamura and the standard gauge
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Baumgarte、Shapiro、Shibata 和 Nakamura 的协变公式以及标准规范
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发表时间：
2009
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影响因子：
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通讯作者：
J. D. Brown
中科院分区：
文献类型：
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作者：
J. D. Brown
Baumgarte-Shapiro-Shibata-Nakamura （BSSN）和标准规范方程在空间坐标变换下以协变形式表示。BSSN变量被定义为没有密度权值的张量。这允许我们使用两种不同的坐标系来演化一组给定的初始数据，并使用熟悉的张量变换规则将结果联系起来。考虑了协变方程的两种变体。它们彼此的不同之处在于共形度量的行列式是如何演化的。
The Baumgarte-Shapiro-Shibata-Nakamura (BSSN) and standard gauge equations are written in covariant form with respect to spatial coordinate transformations. The BSSN variables are defined as tensors with no density weights. This allows us to evolve a given set of initial data using two different coordinate systems and to relate the results using the familiar tensor transformation rules. Two variants of the covariant equations are considered. These differ from one another in the way that the determinant of the conformal metric is evolved.