Electric and Magnetic fields due to Dirac particles in FRW spacetime

TL;DR

This paper investigates solutions to Maxwell equations with Dirac particles in FRW spacetime, deriving Green's functions and Lienard-Wiechert solutions, revealing angular momentum state compositions of electromagnetic fields.

Contribution

It provides explicit Green's functions and solutions for Maxwell fields sourced by Dirac particles in FRW spacetime, extending understanding of electromagnetic phenomena in cosmological backgrounds.

Findings

Green's function reduces to Minkowskian case in limit

F_{rta} involves even angular momentum states

F_{ heta} involves odd angular momentum states

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, F_{r\eta} and F_{\theta\phi} 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 F_{r\eta} is composed of even angular momentum states while the odd states constitue F_{\theta\phi} .