Born-Infeld gravity coupled to Born-Infeld electrodynamics

Understand

We investigate spherically symmetric, static spacetimes in Eddington-inspired Born-Infeld gravity coupled to Born-Infeld electrodynamics.

• The two constants, $b^2$ and $\kappa$ which parametrise the Born-Infeld structures in the electrodynamics (matter) and gravity sectors, characterise the features of our analytical solutions.
• Black holes or naked singularities are found to arise, depending on the values of $b^2$ and $\kappa$, as well as charge and mass.
• Several such solutions are classified and understood through the analysis of the associated metric functions for fixed $\kappa$, varying $b^2$ and vice-versa.