This paper is devoted for the formulation of new anisotropic solutions for non-static spherically symmetric self-gravitating systems through gravitational decoupling technique. Initially, we add a gravitational source in the perfect matter distribution for inducing the effects of anisotropy in the considered model. We then decouple the field equations through minimal geometric deformation approach and derive three new anisotropic solutions. Among these, two anisotropic solutions are evaluated by applying specific constraints on anisotropic source and the third solution is obtained by employing the barotropic equation of state. The physical acceptability and stability of the anisotropic models are investigated through energy conditions and causality condition, respectively. We conclude that all the derived anisotropic solutions are physically viable as well as stable.

中文翻译：

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引力解耦非静态各向异性球面解

本文致力于通过引力解耦技术为非静态球对称自引力系统制定新的各向异性解。最初，我们在完美物质分布中添加了一个引力源，以在所考虑的模型中诱导各向异性的影响。然后，我们通过最小几何变形方法解耦场方程，并推导出三个新的各向异性解。其中，通过对各向异性源施加特定约束来评估两个各向异性解决方案，并通过采用正压状态方程获得第三个解决方案。各向异性模型的物理可接受性和稳定性分别通过能量条件和因果条件进行研究。