Gravity, torsion, Dirac field and computer algebra using MAPLE and REDUCE
General Relativity and Quantum Cosmology
2007-05-23 v2 Symbolic Computation
High Energy Physics - Theory
Computational Physics
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 Dirac equation on specific examples of spacetimes with or without torsion are pointed out.
Cite
@article{arxiv.gr-qc/0209096,
title = {Gravity, torsion, Dirac field and computer algebra using MAPLE and REDUCE},
author = {D. N. Vulcanov},
journal= {arXiv preprint arXiv:gr-qc/0209096},
year = {2007}
}
Comments
20 pages, Latex