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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.

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Title TensorPack : a Maple-based software package for the manipulation of algebraic expressions of tensors in general relativity
Author(s) Huf, P.A.
Carminati, J.
Conference name Mathematical Modeling in Physical Sciences. Conference (4th : 2015 : Mykonos, Greece)
Conference location Mykonos, Greece
Conference dates 5-8 Jun. 2015
Title of proceedings 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.
ISSN 1742-6588
1742-6596
Language eng
DOI 10.1088/1742-6596/633/1/012021
Field of Research 010504 Mathematical Aspects of General Relativity
010207 Theoretical and Applied Mechanics
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category E1 Full written paper - refereed
ERA Research output type E Conference publication
Copyright notice ©2015, The Authors
Free to Read? Yes
Use Rights Creative Commons Attribution licence
Persistent URL http://hdl.handle.net/10536/DRO/DU:30082093

Document type: Conference Paper
Collections: School of Information Technology
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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.