2002/09/25 by Dumitru N. Vulcanov, D. N. Vulcanov, Vulcanov, D. N.
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #Symbolic Computation (cs.SC) #cs.SC #gr-qc #hep-th #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.gr-qc/0209096
20 pages, Latex
openalex publication_date 2002/09/25 · arxiv created 2002/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.