Model of a spin-1/2 electric charge in F(B2) modified Weyl gravity

Abstract

Within [Formula: see text] modified Weyl gravity, we consider a model of a spin-[Formula: see text] electric charge consisting of interior and exterior regions. The interior region is determined by quantum gravitational effects whose approximate description is carried out using Weyl gravity nonminimally coupled to a massless Dirac spinor field. The interior region is embedded in exterior Minkowski spacetime, and the joining surface is a two-dimensional torus. It is shown that mass, electric charge, and spin of the object suggested may be the same as those for a real electron.