Using GRTensorII for manipulating
Dirac equation on curved spacetimes
by
Dumitru N. Vulcanov
Department of Theoretical and Computational Physics
The West University of Timisoara, Timisoara, RO-1900, Romania
vulcan@physics.uvt.ro

This example outlines an aplication of the Maple + GrTensorII enviroment for the algebraic manipulation of the Dirac equation on curved spacetimes.   In this purpose we used a strategy described in the articles quoted below. Mainly we first defined the Pauli and Dirac matrices algebra (using only the MAPLE environment) and then we introduced  the Dirac equation on curved spacetimes using the capabilities of GRTensorII  package.  There are two examples of worksheets presented below, one for calculating Dirac equation on a Taub-Nut spacetime, the other one being dedicated to the Dirac equation for the Schwarzschild metric in a spacetime with torsion. Other examples (and their respective worksheets and metric files can be provided by the author, by request).

Last update: October 2000