标题： 具有各向异性物质的一般相对论多态体：一般形式和应用 显示英文标题

标题： General relativistic polytropes for anisotropic matter: The general formalism and applications

摘要： 我们详细建立了模拟具有各向异性压力的多态相对论恒星的一般形式体系。 我们将考虑两种不同的可能的多态方程，所有这些方程在牛顿极限下都导致相同的Lane-Emden方程。 采用了一种启发式模型，该模型基于一种假设，即从已知的各向同性物质解获得各向异性物质解，以说明压力各向异性对恒星结构的影响。 在此背景下，Tolman质量（作为有效引力质量的量度）被用来解释模型的一些特征。 指出了所提出方法的潜在扩展方向。 显示英文摘要

摘要： We set up in detail the general formalism to model polytropic general relativistic stars with anisotropic pressure. We shall consider two different possible polytropic equations, all of which yield the same Lane-Emden equation in the Newtonian limit. A heuristic model based on an ansatz to obtain anisotropic matter solutions from known solutions for isotropic matter is adopted to illustrate the effects of the pressure anisotropy on the structure of the star. In this context, the Tolman mass, which is a measure of the active gravitational mass, is invoked to explain some features of the models. Prospective extensions of the proposed approach are pointed out.