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Abstract In this work, we investigated a most general isotropic charged fluid solution for the Buchdahl model via a two-step method in ℱ ( 𝒬 )-gravity framework for the first time. In this context, a linear function of the form ℱ ( 𝒬 ) = ζ 1 𝒬 + ζ 2 and a particular transformation is used to solve the Einstein-Maxwell Equations (EMEs) employing the Buchdahl ansatz: e Υ(r) = μ (1+λ r 2 )/ μ +λ r 2 , where ζ 1 , ζ 2 , λ and μ are constant parameters. The Schwarzschild de Sitter (AdS) exterior solution is joined to the interior solution at the boundary to determine the constant parameters. It should be emphasized that, for a given transformation, the Buchdahl ansatz only offers a mathematically feasible solution in the context of electric charge, where pressure and density are maximum at the center and decrease monotonically towards the boundary when 0 < μ < 1. We taken into account the compact star EX01785-248 with M = (1.3±0.2) M ⊙ ; Radius = 12.02 +0.55 -0.55 km for graphical analysis. The physical acceptability of the model in the context of ℱ ( 𝒬 ) gravity has been evaluated by looking at the necessary physical properties, including energy conditions, causality condition, hydrostatic equilibrium, pressure-density ratio, etc. Additionally, we predicted the maximum mass limit of different compact objects for various parameter values along with the mass-radius relation. The maximum masses range (1.927 - 2.321) M ⊙ are obtained for our solution. It can be observed that when the coupling parameter ζ 1 for ℱ ( 𝒬 gravity is smaller, then our solution yields massive stars. The present investigation provides novel insights and realistic implications regarding the formation of compact astrophysical objects.
Chaudhary et al. (Sun,) studied this question.