Cosmological Born-Infeld gravity coupled to Born-Infeld electrodynamics

We present a detailed study about static spherically symmetric and electrically charged black hole solutions with non-zero cosmological constant Λ. We study the Eddingtoninspired Born-Infeld (known as EiBI) gravity coupled to the Born-Infeld electrodynamics. We analyze metric functions and employ Jana-Kar method to solve it. This black hole solution is parameterized by M, q, κ, λ and Λ which allows us to distinguish black hole, extremal black hole and naked singularity (paper)