Nonlinear Behavior of Nonspherical Perturbations of the Schwarzschild Metric
Nonlinear Behavior of Nonspherical Perturbations of the Schwarzschild Metric
复制标题
史瓦西度规非球面扰动的非线性行为
DOI：
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发表时间：
1976
期刊：
影响因子：
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通讯作者：
N. Tajima
中科院分区：
文献类型：
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作者：
K. Tomita;N. Tajima
在这篇文章中，我们给出了我们的重新计算的结果，这些重新计算是为了避免我们以前处理塌缩物体外引力场中非球面扰动的非线性行为时发现的不希望看到的点。前一处理的主要修改是从Bondi-Sachs坐标(u，r)到类Kruskal坐标(x=：ee-“12，y~e”12)的坐标变换和对先前计算中的错误的修正。与以前的结果相反，当我们接近无限红移面时，发现曲率张量的一个物理分量不是发散为1/x，而是发散为y。我们再次得出结论，在我们施加的边界条件下，非线性效应不是微不足道的。
In this paper we show the result of our recalculations which were performed to avoid undesirable points found in our previous treatment for the nonlinear behavior of nonspherical perturbations in the gravitational field outside a collapsing object. The main modification from the previous treatment is a coordinate transformation from the Bondi-Sachs coordinates (u, r) to the Kruskal-like ones (x=:Ee-" 12, y~e" 12 ) and the correction of mistakes included in previous calculations. Contrary to the previous result, it is found that a physical component of the curvature tensor does not diverge as 1/ x, but as y, when we approach the infinite redshift surface. It is again concluded that the nonlinear effect is not trivial under our imposed boundary condition.