Assuming the source of energy momentum tensor as perfect fluid, a classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal vector fields (CVFs) is presented. For the classification purpose, we put different conditions on metric coefficients to obtain solutions in f(R) theory of gravity. By means of some algebraic and direct integration techniques, it is shown that the dimension of CVFs for the considered spacetimes turns out to be 4, 5, or 15.

中文翻译：

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f（R）引力理论中具有完美流体物质的共形运动对静态圆柱对称时空的分类

假设能量动量张量的来源是理想流体，提出了利用共形矢量场（CVFs）对f（R）重力理论中的静态圆柱对称时空进行分类的方法。出于分类的目的，我们对度量系数设置了不同的条件，以获得f（R）重力理论的解。通过一些代数和直接积分技术，可以证明对于所考虑的时空，CVF的维数为4、5或15。