分布函数中具有各向异性和截止能的费米子自引力牛顿模型
Self-gravitating Newtonian models of fermions with anisotropy and cutoff energy in their distribution function
摘要：
自引力费米子系统由于其广泛的应用领域而成为天体物理学中的一个重要课题。本文研究了无碰撞半生成费米子球对称牛顿模型的引力平衡。我们构造的数值解，考虑到各向异性的分布函数的影响，并考虑切向速度的流行。通过这种方式，我们的模型推广了各向同性费米-狄拉克统计的解决方案。我们还扩展到平衡配置的经典制度和完全退化的限制，恢复，为不同水平的各向异性，空心平衡配置麦克斯韦制度。此外，在完全简并的限制下，我们找到了一个直接的表达式与组成系统的粒子的质量的各向异性。
英文摘要：
Systems of self-gravitating fermions constitute a topic of great interest in astrophysics, due to the wide field of applications. In this paper, we consider the gravitational equilibrium of spherically symmetric Newtonian models of collisionless semidegenerate fermions. We construct numerical solutions by taking into account the effects of the anisotropy in the distribution function and considering the prevalence of tangential velocity. In this way, our models generalize the solutions obtained for isotropic Fermi-Dirac statistics. We also extend the analysis to equilibrium configurations in the classical regime and in the fully degenerate limit, recovering, for different levels of anisotropy, hollow equilibrium configurations obtained in Maxwellian regime. Moreover, in the limit of full degeneracy, we find a direct expression relating the anisotropy with the mass of the particles composing the system.
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