Evolution of the constraint equations in general relativity.
Evolution of the constraint equations in general relativity.
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广义相对论中约束方程的演化。
DOI：
10.1103/physrevd.35.1095
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
Detweiler
中科院分区：
文献类型：
--
作者：
Detweiler
我们考虑广义相对论中初始数据的演化。比安奇恒等式保证了最初满足约束方程的数据总是满足约束条件。但我们通常只期望约束方程的近似满足，例如在数值分析中。在这里，我们只研究近乎良好的初始数据的演变。在相当普遍的情况下，演化会使数据远离好的数据；我们给出一个简单的例子，在这个例子中，数值相对论中采用的传统方法可能会给出错误的结果。我们还提出了对这些传统方法的微小修改，这可能会弥补这一困难。
We consider the evolution of initial data in general relativity. The Bianchi identity guarantees that data which initially satisfy the constraint equations will always satisfy the constraints. But we often expect only the approximate satisfaction of the constraint equations, for example, in numerical analysis. Here we study the evolution of only approximately good initial data. Under rather general circumstances the evolution drives the data away from good data; and we give a simple example where the traditional methods employed in numerical relativity would be likely to give erroneous results. We also present a minor modification of these traditional methods which would be likely to remedy this difficulty.