Energy condition of wormhole and thin shell by assuming conformal symmetry in teleparallel-Rastall gravity

Abstract

Abstract The static spherically symmetric wormhole solution for a non-isotropic perfect fluid energy-momentum tensor within the context of teleparallel-Rastall gravity is investigated. First, by imposing static and non-static conformal symmetry on the static spherically symmetric space-time metric, we investigated the null energy condition at the throat of traversable wormholes and showed that the null energy condition in the throat and its neighborhood is violated. Secondly, with the aim of minimize the usage of exotic matter, we found regions where the energy conditions are valid at the junction surface. We found that in the static case of conformal symmetry solution, the null energy condition (NEC), weak energy condition (WEC), and Strong energy condition (SEC) are valid for different λ 0 parameters. Moreover, we obtained that for the non-static symmetric solution of conformal symmetry, the NEC and WEC are satisfied for different sets of ( k , λ 0 ˜ ) parameters. Finally, we have explored the stable regions by the parameter η 2 (square speed of sound) for different sets of ( k , λ 0 ˜ ) parameters.