Document Type
Other
Publication Date
Fall 10-10-2012
Abstract
Let (M, g) be a spacetime, i.e., a 4-dimensional manifold M and Lorentz signature metric g. The key ingredients needed for constructing spinor fields on the spacetime are: a complex vector bundle E -> M ; an orthonormal frame on TM ; and a solder form relating sections of E to sections of TM (and tensor products thereof). We show how to create a two-component spinor field on the Schwarzschild spacetime using the DifferentialGeometry package in Maple. PDF and Maple worksheets can be downloaded from the links below.
Recommended Citation
Torre, Charles G., "How to Create a Two-Component Spinor" (2012). How to... in 10 minutes or less. Paper 2.
https://digitalcommons.usu.edu/dg_how/2
Additional Files
HowToCreateATwoComponentSpinor.pdf (199 kB)PDF version
HowToCreateATwoComponentSpinor.mw (191 kB)
Maple worksheet
