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  Gravity, torsion, Dirac field and computer algebra using MAPLE and REDUCE

Vulcanov, D. N. (2002). Gravity, torsion, Dirac field and computer algebra using MAPLE and REDUCE. Computer Physics Communications.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-54B7-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-54B8-1
Genre: Journal Article

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3120.pdf (Preprint), 168KB
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 Creators:
Vulcanov, Dumitru N.1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: The article presents computer algebra procedures and routines applied to the study of the Dirac field on curved spacetimes. The main part of the procedures is devoted to the construction of Pauli and Dirac matrices algebra on an anholonomic orthonormal reference frame. Then these procedures are used to compute the Dirac equation on curved spacetimes in a sequence of special dedicated routines. A comparative review of such procedures obtained for two computer algebra platforms (REDUCE + EXCALC and MAPLE + GRTensorII) is carried out. Applications for the calculus of the calculus of Dirac equation on specific examples of spacetimes with or without torsion are pointed out

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 Dates: 2002
 Publication Status: Published in print
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 Identifiers: eDoc: 3120
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Title: Computer Physics Communications
Source Genre: Journal
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