On a new approach for constructing wormholes in Einstein–Born–Infeld gravity

We study a new approach for the wormhole construction in Einstein–Born–Infeld gravity, which does not require exotic matters in the Einstein equation. The Born–Infeld field equation is not modified by coordinate independent conditions of continuous metric tensor and its derivatives, even though the Born–Infeld fields have discontinuities in their derivatives at the throat in general. We study the relation of the newly introduced conditions with the usual continuity equation for the energy-momentum tensor and the gravitational Bianchi identity. We find that there is no violation of energy conditions for the Born–Infeld fields contrary to the usual approaches. The exoticity of the energy-momentum tensor is not essential for sustaining wormholes. Some open problems are discussed