Re: dirac equation in curved spacetime



On Sep 16, 1:11 pm, vivishek <vivishek.sud...@xxxxxxxxx> wrote:
Is there a single, well-accepted form of the dirac equation for a free
particle in curved spacetime? If not, what are the various
possibilities constructed so far?

One possibility is the real gravitational Dirac equation. It's the
same as the matrix version with a bit more geometry. It's called real
because because the uninterpreted scalar i is replaced with an
associative product of ortho-normal vectors See Spacetime Geometry
with Geometric Calculus at http://modelingnts.la.asu.edu/html/GCgravity.html
and go to equation (120)

.