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).

- Related papers (containing more informations) :
- TaubNUT spacetime mws || html
- Schwarzschild metric with torsion mws || html
- Dowload the metric files tnb_1.mpl and sscw_1.mpl

These will appear on the right. Highlite and save these in your metrics directory for GRTensorII.