Charged fermions and vector bosons in magnetic fields within a spacetime generated by a spinning point source

Abstract

We investigate the relativistic dynamics of charged fermions and vector bosons in magnetic fields within a $2+1$-dimensional spacetime background generated by a spinning point source. We derive the equations for the charged Dirac oscillator (DO) and charged vector bosons, aiming to find analytical solutions to the resulting wave equations. We identify solutions for both systems by analytically examining the allowed wave equations and analyzing the impact of each parameter on the resulting relativistic energy eigenvalues. Our observations reveal that the spin parameter (ϖ) of the point source can cause symmetry breaking in particle-antiparticle energy states around the Dirac point, an effect that disappears when $\varpi =0$. However, for charged vector bosons in such a spinning spacetime, the asymmetry between particle-antiparticle states persists even when $\varpi =0$.