  We show that, in contrast to general relativity, in Eddington-inspired
Born-Infeld gravity (EiBI), a violation of the null convergence condition does
not necessarily lead to a violation of the null energy condition, by
establishing a relationship between them. This serves as a motivation for
finding wormhole solutions which can be supported by nonexotic matter in this
gravity theory. We then obtain exact solutions of the field equations in EiBI
gravity coupled to arbitrary nonlinear electrodynamics and anisotropic fluids.
Depending on the signs and values of different parameters, the general
solutions can represent both black holes and wormholes. In this work, we
analyze the wormhole solutions. These wormholes are supported by nonexotic
matter, i.e., matter satisfying all the energy conditions. As special cases of
our general solutions, we work out several specific examples by considering
Maxwell, power-law, Born-Infeld electrodynamics models and a particular form of
an anisotropic fluid.

General Relativity and Quantum Cosmology;High Energy Physics - Theory