Using Algebraic Computing To Teach General Relativity And Cosmology

D. Vulcanov, R. Boată
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Abstract

Abstract The article presents some new aspects and experience on the use of computer in teaching general relativity and cosmology for undergraduate students (and not only) with some experience in computer manipulation. Some years ago certain results were reported [1] using old fashioned computer algebra platforms but the growing popularity of graphical platforms as Maple and Mathematica forced us to adapt and reconsider our methods and programs. We will describe some simple algebraic programming procedures (in Maple with GrTensorII package) for obtaining and the study of some exact solutions of the Einstein equations in order to convince a dedicated student in general relativity about the utility of a computer algebra system.
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用代数计算教授广义相对论和宇宙学
本文介绍了在具有一定计算机操作经验的本科生(或非本科生)的广义相对论和宇宙学教学中使用计算机的一些新方面和经验。几年前,使用老式的计算机代数平台报道了一些结果[1],但图形平台如Maple和Mathematica的日益流行迫使我们适应和重新考虑我们的方法和程序。我们将描述一些简单的代数编程程序(在Maple和GrTensorII包中),用于获得和研究爱因斯坦方程的一些精确解,以说服一个专门研究广义相对论的学生关于计算机代数系统的效用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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