Coupling the Dirac and Einstein equations through geometry

Jason Hanson

Published 2019-03-28Version 1

We show that the Clifford bundle over a curved spacetime can be used as framework in which both the Dirac and the Einstein equations can be obtained. These equations, and their coupling, follow from the variational principle applied to a Lagrangian constructed from natural geometric invariants. We also briefly indicate how other forces can potentially be incorporated within this geometric framework.