标题： 静态球对称物体在相对论弹性力学中 显示英文标题

标题： The static spherically symmetric body in relativistic elasticity

摘要： 在本文中讨论了一类广义相对论弹性方程的静态球对称解。 讨论的主要重点是比较两种物质模型，这两种模型是通过它们的存储能量泛函来描述的，即当系统发生形变时给出系统中存储能量的规则。 这两个泛函模仿（并且对于小形变近似）经典的柯西-圣维南材料，但在使用的应变变量上有所不同。 我们讨论了系统在大形变下的行为。 显示英文摘要

摘要： In this paper is discussed a class of static spherically symmetric solutions of the general relativistic elasticity equations. The main point of discussion is the comparison of two matter models given in terms of their stored energy functionals, i.e., the rule which gives the amount of energy stored in the system when it is deformed. Both functionals mimic (and for small deformations approximate) the classical Kirchhoff-St.Venant materials but differ in the strain variable used. We discuss the behavior of the systems for large deformations.