Re: dirac equation in curved spacetime

On Sep 17, 12:32 pm, Fall <damon.kend...@xxxxxxxxx> wrote:
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 athttp://modelingnts.la.asu.edu/html/GCgravity.html
and go to equation (120)

MTW gives a reference, don't know if you'll be able to find it: Brill
and Wheeler (1957), "Interaction of neutrinos and gravitational
fields", Phys. Rev. 143, 1011-1015

.

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