A general formalism developed few years ago to model polytropic Newtonian stars with anisotropic pressure is applied to model stars for which, both, radial and tangential pressure satisfy polytropic equations of state. We obtain the corresponding Lane–Emden equation, and integrate it for a wide range of values of the parameters, thereby illustrating the effects of the pressure anisotropy on stellar objects. We calculate Chandrasekhar mass for a white dwarf and compare it with previous results. Finally, prospective applications to some astrophysical scenarios are discussed.

中文翻译：

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各向异性物质的双多向性：牛顿现象

几年前发展起来的一般形式主义是用各向异性压力对多变牛顿星进行建模，而径向和切向压力都满足多态状态方程的恒星将被应用。我们获得了相应的Lane–Emden方程，并将其整合为各种参数值，从而说明了压力各向异性对恒星物体的影响。我们计算出白矮星的钱德拉塞卡质量，并将其与先前的结果进行比较。最后，讨论了在某些天文学场景中的预期应用。