Isotropic and complexity-free deformed solutions in self-interacting Brans–Dicke gravity

Abstract

In this work, we focus on constructing two analogs of an anisotropic seed solution via the decoupling technique. For this purpose, we add a new matter source alongside the anisotropic fluid in a static sphere. A transformation in the radial metric component is applied to split the field equations into two sets such that the influence of each source is limited to one array. The anisotropic solution constructed by employing the embedding class-one condition is used to specify the set corresponding to the seed source. We obtain two solutions of the second set (related to the additional source) by applying constraints on the anisotropy and complexity of the self-gravitating system. A smooth junction between the interior and exterior spacetimes determines the unknown constants. Various physical characteristics, such as viability and stability, are graphically analyzed by utilizing the radius and mass of the star PSR J1614-2230. It is found that the extended solutions agree with the energy conditions as well as stability criteria for selected values of the parameters.