Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic
  Monopole Solutions
  We investigate $ Y(R) F^2 $-type coupling of electromagnetic fields to
gravity. After we derive field equations by a first order variational principle
from the Lagrangian formulation of the non-minimally coupled theory, we look
for static, spherically symmetric, magnetic monopole solutions. We point out
that the solutions can provide possible geometries which may explain the
flatness of the observed rotation curves of galaxies.
