  We study a Born-Infeld inspired model of gravity and electromagnetism in
which both types of fields are treated on an equal footing via a determinantal
approach in a metric-affine formulation. Though this formulation is a priori in
conflict with the postulates of metric theories of gravity, we find that the
resulting equations can also be obtained from an action combining the
Einstein-Hilbert action with a minimally coupled nonlinear electrodynamics. As
an example, the dynamics is solved for the charged static black hole.
