Isotropic Buchdahl’s relativistic fluid sphere within [formula omitted] gravity

Abstract

The aim of the research is to look into a new solution for isotropic compact stars in the context of the f(R,T) theory of gravity. We used the Buchdahl (1959) metric potentials as input to deal with the field equations in the f(R,T) framework. For different values of the coupling parameter χ, graphical representation of the model parameters have been shown to canvass the analytical results more clearly. Interestingly, we have proven that for χ=0, the standard General Relativity (GR) results can be recovered. A comparison of our obtained solutions with the GR results is also discussed. To study the effect of the coupling parameter χ, the numerical values of the different physical variables have been tabulated for the values of the coupling parameter χ=0,0.25,0.5,0.75,1,1.25. We used the compact stars candidate LMC X-4 with mass=(1.04±0.09)M⊙; Radius =8.301−0.2+0.2 km. respectively, for graphical analysis. To determine the physical acceptability of the model, we looked into the necessary physical properties such as energy conditions, causality, hydrostatic equilibrium, and pressure–density ratio etc. and found that our system satisfies all of these criteria, indicating that the model is physically reasonable.