论文标题
在相对论球形模型中使用枫木和grtensoriii
Using Maple and GRTensorIII in relativistic spherical models
论文作者
论文摘要
本文介绍了用于使用代数操纵软件的一些方面和经验。几年前，使用计算机代数平台报告了某些结果，但是诸如Maple之类的图形平台的日益普及使我们从另一种角度解决了许多表达式的简化问题。提出了一些简单的代数编程程序（带有GRTENSORIII套件的枫木），以获得球形对称性并研究材料分布，并搜索Einstein场方程的精确解决方案。目的是显示计算机代数系统的有用。所有计算均使用在Maple 2017上运行的GrtenSoriii计算机代数软件包进行，以及我们专门用于简化许多代数表达式的枫木例程，这些程序在这种类型的问题中非常普遍。
This article presents some aspects and experience in the use of algebraic manipulation software applied to general relativity. Some years ago certain results were reported using computer algebra platforms, but the growing popularity of graphical platforms such as Maple allows us to approach the problem of the simplifications of many expressions from another point of view. Some simple algebraic programming procedures are presented (in Maple with the GrTensorIII package) to obtain and study material distributions with spherical symmetry and to search for exact solutions of the Einstein field equations. The purpose is to show how useful a computer algebra system can be. All calculations were performed using the GRTensorIII computer algebra package, which runs on Maple 2017, along with several Maple routines that we have used specifically for the simplification of many of the algebraic expressions that are very common in this type of problem.
