In present article, we have formulated the new physical generalized polytropic models with anisotropic matter distribution in the absence of electromagnetic field. We have assumed the Finch-Skea spacetime to develop the models, which fulfill all the criteria for the physical adequacy. Distinct physical features of the obtained models have been examined and evaluated. Furthermore, the physical quantities are presented graphically to meet the physical conditions of viable astronomical models. These results can be reduced to the different cases of uncharged anisotropic fluid such as linear, quadratic and polytropic equations of state.

中文翻译：

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Finch-Skea 时空的广义多方模型

在本文中，我们已经制定了在没有电磁场的情况下具有各向异性物质分布的新的物理广义多方模型。我们假设 Finch-Skea 时空来开发模型，它满足物理充分性的所有标准。已经检查和评估了所获得模型的不同物理特征。此外，物理量以图形方式呈现，以满足可行天文模型的物理条件。这些结果可以简化为不带电各向异性流体的不同情况，例如线性、二次和多方状态方程。