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

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

2002-09-25

arxiv.org/abs/gr-qc/0209096v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, Latex

Scientific paper

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 Dirac equation on specific examples of spacetimes with or without torsion are pointed out.

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