Stellar anisotropic cluster in ƒ(ℛ, 𝔾) gravity

Abstract

We investigate a few models with various physical elements that could lead to the appearance of celestial bodies with different curvature systems within the background of [Formula: see text] gravity, where [Formula: see text] represents the Ricci scalar and [Formula: see text] stands for the Gauss–Bonnet curvatures. After formulating [Formula: see text] field equations in the setting of anisotropic fluid configuration, along with specific metric coefficients, the observational data of HerX − 1, 4 U1820 − 30, VeLAX − 1, SAXJ1808.4 − 3068, CenX − 3, and PSRJ16142230 are used. Three different gravity models are used to analyze their impact on mathematical modeling. Several physical factors have been illuminated, including energy density, pressure evolutions, energy conditions, stability analysis, the measurement equation of state parameters, matter content, etc. To access the substance of our model, we observed a number of physical factors, and it was discovered that our system does not contain any singularities.