In this paper, we explore some exact cylindrically symmetric solutions in the context of Rastall theory of gravity. For this purpose, we consider the general form of a metric in the cylindrical Weyl coordinates. The modified field equations are developed in the presence of charge. In particular, we try to recover the well-known Levi–Civita’s static cylindrically symmetric solution in the framework of Rastall gravity. The graphical behavior of energy density and pressure component is presented along with the discussion of energy conditions. Finally, the solutions in the context of general relativity are discussed. It is concluded that Levi–Civita’s static cylindrically symmetric charged solutions do exist in Rastall theory of gravity.

在本文中，我们在拉斯托尔引力理论的背景下探索了一些精确的圆柱对称解。为此，我们考虑圆柱外尔坐标中度量的一般形式。修正的场方程是在有电荷的情况下开发的。特别是，我们试图在 Rastall 引力的框架内恢复著名的 Levi-Civita 静态圆柱对称解。能量密度和压力分量的图形行为与能量条件的讨论一起呈现。最后，讨论了广义相对论背景下的解决方案。得出的结论是，Rastall 引力理论中确实存在列维-奇维塔的静态圆柱对称带电解。