Model of a spin-$1/2$ electric charge in $F\left(B^2\right)$ modified Weyl gravity

Abstract

Within $F\left(B^2\right)$ modified Weyl gravity, we consider a model of a spin-$1/2$ 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.

arXiv comment9 pages, 2 figures

References in corpus (11)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Particle-Like Solutions of the Einstein-Dirac Equations
• Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations
• Kerr-Newman solution as a Dirac particle
• Singularity-free model of electrically charged fermionic particles and gauged Q-balls
• Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory
• Threefold Family of Charged Spin-1/2 Dirac Bubbles
• Gravity versus Quantum theory: Is electron really pointlike?
• Zel'dovich states with very small mass and charge in nonlinear electrodynamics coupled to gravity