Electric and Magnetic fields due to Dirac particles in FRW spacetime

Abstract

Some solutions of the Maxwell equations with Dirac particles for the source in FRW spacetime are discussed. The Green's function of the equation for the radial component of the Maxwell fields, Frη and F θφ is solved. Green's function is found to reduce to that of Minkowskian spacetime in the appropriate limit. Also, the Lienard-Wiechert type solution is derived. Also, the solutions with the Dirac particle current is also presented. It is found that the Frηis composed of even angular momentum states while the odd states constitue F θφ .

Perturbation of FRW Spacetime in Np Formalism

“…To solve the inhomogeneous equation with source, we can work out the Green's function by writing Eq. ( 11) for p = 0 with the delta function source [26]:…”

“…So it is worthwhile to investigate the possibility that the vortical modes and the rotational effects on the large, and even small, scale structures, which could have their origin in electrodynamic interactions in very early Universe. Although the free Dirac and Maxwell equations have been solved in another work [26], it is also necessary to incorporate the quantum corrections into the model.…”