arXiv 1306.12952013-06cs.MSastro-ph.COgr-qchep-thphysics.comp-ph

MathGR：张量和GR计算包，以保持简单

MathGR: a tensor and GR computation package to keep it simple

Yi Wang

备注：: 12 pages, 2 figures; v2: version to match updated software; v3: Ibp part updated to match behavior of code

摘要：

我们介绍MathGR包，用Mathematica编写。该软件包可以使用抽象或显式索引操作张量和GR计算，使用置换对称简化张量，将张量从抽象索引分解为部分或完全显式索引，并将偏导数转换为全导数。定义了常用的GR张量和具有ADM型扰动的FRW宇宙模型。该软件包是围绕“保持简单”的哲学构建的，并利用了Mathematica的最新张量技术。

英文摘要：

We introduce the MathGR package, written in Mathematica. The package can manipulate tensor and GR calculations with either abstract or explicit indices, simplify tensors with permutational symmetries, decompose tensors from abstract indices to partially or completely explicit indices and convert partial derivatives into total derivatives. Frequently used GR tensors and a model of FRW universe with ADM type perturbations are predefined. The package is built around the philosophy to "keep it simple", and makes use of latest tensor technologies of Mathematica.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。