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.
Waseem et al. (Tue,) studied this question.