A family of braneworld wormholes

Abstract

A wormhole solution is presented on a braneworld scenery, the material source is given by a perfect fluid on brane that does not violate the energy conditions. we propose an ansatz for the state equation resulting in a family of solutions that satisfy necessary conditions over the free parameters of the solution. The effect of projecting the 5D Weyl tensor components on the brane, give the conditions to have a wormhole satisfying the NEC, besides simultaneously guaranteeing the absence of horizons. Furthermore, our model predicts an astronomical bound for the wormhole throat.