Impact of Tolman Ansatz on Anisotropic Compact Object in ℱ(𝒬) Gravity with Modified Chaplygin Fluid

This paper constructs an anisotropic stellar model for static spherically symmetric geometries in [Formula: see text] gravity. Corresponding to a linear form [Formula: see text], we derive the modified gravitational field equations. For a specific case, we assume the Tolman metric potential together with the modified Chaplygin gas equation of state and derive an exact solution. Considering the structure and dynamical behavior of the stars, we apply this model to a particular compact star, EXO 1785-248, by processing a Schwarzschild exterior along with a static spherical interior. We analyze effective matter variables, energy conditions, redshift profiles and parameters of the equation of state for [Formula: see text], [Formula: see text] and five different values of [Formula: see text] constant [Formula: see text]. Then we present a comparison between the classical case and [Formula: see text] gravity with respect to the known stability and viability tests. The [Formula: see text] model meets all the requirements for realistic stellar structures, and this is in contrast with General Relativity, which does not satisfy the conditions for the same configuration. The aforementioned findings illustrate the potential and ability of [Formula: see text] gravity to serve as a legitimate theory to explain the anisotropic compact stars that are based on a modified Chaplygin gas equation of state.