重力作用下的管状位错
Tube dislocations in gravity
摘要：
我们考虑静态的质量薄圆柱壳（管）作为爱因斯坦方程的源。它们对应于$\dl$ -和$\dl'$ -函数型能量动量张量。相应的度量分量被显式地找到。它们通常不是连续函数，并且导致模糊的曲率张量分量。尽管如此，爱因斯坦方程中所有模棱两可的项都安全地抵消了。分析了弹性理论、几何缺陷理论和广义相对论之间的相互作用。弹性理论为缺陷的产生提供了一个简单的图像，也为广义相对论提供了一个新的视角。
英文摘要：
We consider static massive thin cylindrical shells (tubes) as the sources in Einstein's equations. They correspond to $\dl$- and $\dl'$-function type energy-momentum tensors. The corresponding metric components are found explicitly. They are not continuous functions in general and lead to ambiguous curvature tensor components. Nevertheless all ambiguous terms in Einstein's equations safely cancel. The interplay between elasticity theory, geometric theory of defects, and General Relativity is analyzed. The elasticity theory provides a simple picture for defects creation and a new look on General Relativity.
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