On the possible existence of wormholes in Rastall–Rainbow gravity

Recently, the Rastall–Rainbow gravity emerged as an intriguing modified gravity theory. This theory is a combination of two theories, namely, the Rastall theory and the Rainbow description. This study aims to investigate the potential existence of static, spherically symmetric wormholes in this gravity theory. Specifically, we provide precise solutions to asymptotically flat wormhole geometries for the specific choice of the redshift and shape functions. With the specific examples, we investigate some issues concerning energy conditions and adiabatic sound velocity. We also consider the “volume integral quantifier” to assess the total amount of energy-condition violation matter. Finally, we conclude that reducing Rastall’s parameters and adjusting the Rainbow functions may alleviate the violation of energy conditions.