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

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dc.creatorVulcanov, D. N.
dc.date2002-09-25
dc.date2002-09-30
dc.date.accessioned2026-07-25T17:04:42Z
dc.descriptionThe 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 Dirac equation on specific examples of spacetimes with or without torsion are pointed out.
dc.description20 pages, Latex
dc.identifierhttps://arxiv.org/abs/gr-qc/0209096
dc.identifierhttp://arxiv.org/abs/gr-qc/0209096
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/45545
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectSymbolic Computation
dc.subjectHigh Energy Physics - Theory
dc.subjectComputational Physics
dc.titleGravity, torsion, Dirac field and computer algebra using MAPLE and REDUCE
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