TensorPack : a Maple-based software package for the manipulation of algebraic expressions of tensors in general relativity
Huf, P.A. and Carminati, J. 2015, TensorPack : a Maple-based software package for the manipulation of algebraic expressions of tensors in general relativity, in IC-MSQUARE 2015 : Proceedings of the 4th Mathematical Modeling in Physical Sciences International Conference, IOP Publishing, Bristol, Eng., pp. 1-5, doi: 10.1088/1742-6596/633/1/012021.
IC-MSQUARE 2015 : Proceedings of the 4th Mathematical Modeling in Physical Sciences International Conference
Publication date
2015
Series
Journal of Physics : Conference Series v.633
Start page
1
End page
5
Total pages
5
Publisher
IOP Publishing
Place of publication
Bristol, Eng.
Summary
In this paper we: (1) introduce TensorPack, a software package for the algebraic manipulation of tensors in covariant index format in Maple; (2) briefly demonstrate the use of the package with an orthonormal tensor proof of the shearfree conjecture for dust. TensorPack is based on the Riemann and Canon tensor software packages and uses their functions to express tensors in an indexed covariant format. TensorPack uses a string representation as input and provides functions for output in index form. It extends the functionality to basic algebra of tensors, substitution, covariant differentiation, contraction, raising/lowering indices, symmetry functions and other accessory functions. The output can be merged with text in the Maple environment to create a full working document with embedded dynamic functionality. The package offers potential for manipulation of indexed algebraic tensor expressions in a flexible software environment.
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.