Hyperbolic polytrope

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
M. Carrasco-H , E. Contreras , E. Fuenmayor , P. León
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Abstract

In this work, we study self-gravitating objects that obey a polytropic equation of state in hyperbolic symmetry. Specifically, we describe in detail the steps to derive the Lane-Emden equation from the structure equations of the system. To integrate the equations numerically, we propose the Cosenza-Herrera-Esculpi-Witten anisotropy and study the cases γ1 and γ=1 in the parameter space of the models. We find that the matter sector exhibits the usual and expected behavior for certain values in this parameter space: energy density (in absolute value) and radial pressure are decreasing functions and vanish at the surface, while the mass function is increasing towards the surface. We find that the anisotropy of the system is positive and decreasing, consistent with the behavior of the radial pressure, which reaches a local minimum at the surface (i.e., the pressure gradient is zero at the surface). We also study the compactness of the dense objects as a function of the polytropic index and obtain that it has an upper bound given by the maximum value it reaches for a certain n. Some extensions of the work and future proposals are discussed.
双曲多变
在这项工作中,我们研究了服从双曲对称多向状态方程的自引力物体。具体来说,我们详细描述了从系统的结构方程推导出Lane-Emden方程的步骤。为了对方程进行数值积分,我们提出了Cosenza-Herrera-Esculpi-Witten各向异性,并研究了模型参数空间中γ≠1和γ=1的情况。我们发现,在该参数空间的某些值,物质扇区表现出通常和预期的行为:能量密度(绝对值)和径向压力是递减函数,在表面消失,而质量函数向表面增加。我们发现系统的各向异性是正的,并且在减小,与径向压力的行为一致,径向压力在表面达到局部最小值(即压力梯度在表面为零)。我们还研究了密集对象的紧性作为多向性指数的函数,得到了它的上界是在一定的n下所达到的最大值。讨论了本文工作的一些推广和未来的建议。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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