论文标题
弹性厚的贝壳一般相对论
Elastic thick shells in General Relativity
论文作者
论文摘要
结果表明，存在针对爱因斯坦磁场方程的准确的球形对称解，因此，在时空的开放区域中，它们是无奇异性的，满足了主要的能量条件，以明确的本构函数表示弹性物质，并且使弹性扰动的弹性驱动促进。 然后建立了两个玩具模型，其中具有上述属性的厚弹性，球形对称的外壳将两个罗伯逊 - 步行者区分开，与曲率$ k $的不同值相对应。在相应的匹配球体表面上，表明连接条件（第一和第二基本形式的连续性）已完全满足。
It is shown that exact spherically symmetric solutions to Einstein's Field Equations exist such that, over an open region of the spacetime, they are singularity free, satisfy the dominant energy condition, represent elastic matter with a well defined constitutive function, and are such that elastic perturbations propagate causally. Two toy-models are then built up in which a thick elastic, spherically symmetric shell with the above properties, separates two Robertson-Walker regions corresponding to different values of the curvature $k$. The junction conditions (continuity of the first and second fundamental forms) are shown to be exactly satisfied across the corresponding matching spherical surfaces.
