各向异性费米子的自引力相对论模型及其分布函数的截止能量
Self-Gravitating Relativistic Models of Fermions with Anisotropy and Cutoff Energy in their Distribution Function
摘要：
本文将前一篇文章中得到的解推广到广义相对论，研究了各向异性自引力费米子的平衡位形。通过考虑不同程度的各向异性，这种处理也将相对论自引力费米气体模型推广到各向异性系统。我们讨论了模型的一些重要特性和得到的密度分布，并在相对论范围内推广了各向异性与粒子质量之间的关系。这些相对论模型也可以应用于研究具有各向异性压力的超密度中子星或由磁场产生的超白矮星。
英文摘要：
In this paper we study the equilibrium configurations of anisotropic self-gravitating fermions, by extending to general relativity the solutions obtained in a previous paper. This treatment also generalizes to anisotropic systems the relativistic self-gravitating Fermi gas model, by considering different degrees of anisotropy. We discuss some important characteristics of the models and the obtained density profiles, and generalize the relation between the anisotropy and the mass of particles in the relativistic regime. These relativistic models may also be applied to the study of superdense neutron stars with anisotropic pressure or super-Chandrasekhar white dwarfs generated by the presence of a magnetic field.
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