  In this paper, we employ the Generalized Feshbach-Villars transformation
(GFVT) to investigate the relativistic quantum dynamics of spin-0 scalar
particles within the backdrop of a magnetic universe characterized by the
Bonnor-Melvin cosmological space-time, which exhibits a geometrical topology
resulting in an angular deficit. We derive the radial equation of the
Klein-Gordon equation using this FV representation and obtain analytical
solutions utilizing special functions. Our analysis demonstrates that various
parameters associated with the space-time geometry exert significant influence
on the eigenvalue solutions within this novel representation. This research
sheds light on the intricate dynamics of particles within the theoretical
framework of quantum field theory in curved space-time.
