Abstract
In this manuscript, the main aim is to investigate the cylindrically symmetric solutions in a well known Rastall theory of gravity. For this purpose, we consider the cylindrically symmetric space–time to discuss the cylindrical solutions in some realistic regions. First, we investigate four distinct cases of exact solutions using the field equations of Rastall theory of gravity. Furthermore, we set some suitable values of the Rastall coupling constant (λ) for the investigation of well-known Levi-Civita and cosmic string solutions. The Energy conditions are also investigated for all different cases and observed that null energy conditions are violated, which is the indication of the existence of cylindrical wormholes.
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