Most general isotropic charged fluid solution for Buchdahl model in ℱ(𝒬) gravity

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.