A family of braneworld wormholes

TL;DR

This paper introduces a new family of braneworld wormhole solutions supported by a perfect fluid that obeys energy conditions, with conditions derived from the projected 5D Weyl tensor ensuring traversability and no horizons.

Contribution

It proposes a novel ansatz for the state equation leading to wormhole solutions that satisfy energy conditions and are free of horizons in a braneworld context.

Findings

Wormhole solutions satisfy the null energy condition (NEC).

The model predicts an astronomical bound for the wormhole throat.

Conditions derived from the 5D Weyl tensor projections are crucial for solution viability.

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.