Determinantal Born-Infeld coupling of gravity and electromagnetism

AFONSO, VICTOR I.; BEJARANO, CECILIA; FERRARO, RAFAEL; OLMO, GONZALO J.

Physical Review D

American Physical Society

Año: 2022 vol. 105

2470-0010

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.