Implementing Tensor Analysis in Mathematica with Illustrations from SchwarzchildGravitation

摘要

Expressions that play roles in tensor analysis, such as Christofell symbols andcurvature tensors, are coded as Mathematica modules by straightforward transcription of their defining equations. The built-in functions can then be used to perform tensor analysis and numerical evaluations. The utility of the Mathematica formulation is illustrated by examples from Schwarzchild gravitation. (AN).