标题： 非定态自引力标量和电磁场配置 显示英文标题

标题： Nonstationary self-gravitating configurations of scalar and electromagnetic fields

摘要： 引力场物理配置的数学建模是现代引力理论的一个优先方向。 在广义相对论框架内构造的大多数精确解都是静态或稳态配置。 这是由于在非稳态假设下求解爱因斯坦方程的客观复杂性。 我们提出了一种构建球对称非线性实标量场和电磁场的非稳态配置的方法，这些场都被假定为与引力最小耦合。 该方法基于通过特征函数和标量场势能写出的一个不变方程。 使用所提出的方法，将构造一个具有非平凡时空拓扑的精确非稳态解。 显示英文摘要

摘要： Mathematical modeling of gravitating configurations of physical fields is one of the priority directions of the modern theory of gravity. Most of the exact solutions constructed within the framework of the general relativity are static or stationary configurations. This is due to the objective complexity of solving the Einstein equations under the assumption of nonstationarity. We present an approach to constructing nonstationary configurations of a spherically symmetric nonlinear real scalar field and the electromagnetic field, which areassumed both to be minimally coupled to gravity. It is based on the isolation of one invariant equation written in terms of the characteristic function and scalar field potential. Using the proposed method, an exact nonstationary solution with a nontrivial topology of space-time will be constructed.