The tensor Dirac equation in Riemannian space

Abstract

We suggest a tensor equation on Riemannian manifolds which can be considered as a generalization of the Dirac equation for the electron. The tetrad formalism is not used. Also we suggest a new form of the tensor Dirac equation with a Spin(1,3) gauge symmetry in Minkowski space.

Latex 19 pages

References in corpus (2)

• A gauge model with spinor group for a description of local interaction of a fermion with electromagnetic and gravitational fields
• A tensor form of the Dirac equation

Cited by in corpus (1)

• Algebraic and Dirac-Hestenes Spinors and Spinor Fields