In this paper, we construct anisotropic spherical solutions from known isotropic solutions through extended gravitational decoupling method in the background of self-interacting Brans–Dicke theory. The field equations are decoupled into two sets by applying geometric deformations on radial as well as temporal metric components. The first array corresponds to isotropic fluid while influence of the anisotropic source is confined to the second set. The isotropic sector is determined through metric functions of isotropic solutions (Tolman IV/Krori–Barua) whereas two constraints on the anisotropic source are required to close the second system. The impact of the massive scalar field as well as the decoupling parameter on the physical characteristics of the anisotropic solutions is analyzed graphically. We also check the viability, compactness, surface redshift and stability of the obtained solutions. It is found that the resulting solutions follow accepted physical trend for some values of the decoupling parameter.

在本文中，我们在自相互作用的Brans–Dicke理论的背景下，通过扩展的重力解耦方法，从已知的各向同性解中构造了各向异性的球形解。通过对径向和时间度量分量应用几何变形，将场方程解耦为两组。第一阵列对应于各向同性流体，而各向异性源的影响仅限于第二组。各向同性扇形是通过各向同性解的度量函数确定的（Tolman IV / Krori–Barua），而要关闭第二个系统则需要对各向异性源有两个约束。用图形分析了大质量标量场以及去耦参数对各向异性解的物理特性的影响。我们还会检查可行性，紧凑性，表面红移和所得溶液的稳定性。发现对于解耦参数的某些值，所得的解遵循可接受的物理趋势。