Analytical solutions of planar geometry with zero complexity in extended gravity.

In this paper, we discuss various analytical solutions of the planner geometry with anisotropic fluid as well as vanishing complexity factor condition in the framework of f(픾) theory. The matching conditions are employed at the interior and exterior hypersurfaces. The connection between the matter parameters and the Weyl tensor has been constructed. For dissipative and non-dissipative structures, we examine four different conformal Killing vector possibilities, while some possibilities adhere to the 풴TF = 0 condition along with the matching conditions, where 풴TF indicates the trace free part of the electric component of the Riemann tensor. Several theoretical models are provided to show how a non-static system evolves. [ABSTRACT FROM AUTHOR]