Analytical study of anisotropic compact star models

被引:81
作者
Ivanov, B. V. [1 ]
机构
[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, Tzarigradsko Shausse 72, BU-1784 Sofia, Bulgaria
来源
EUROPEAN PHYSICAL JOURNAL C | 2017年 / 77卷 / 11期
关键词
EQUATION-OF-STATE; DESCRIBING INTERIOR; GENERALIZED-MODEL; CONFORMALLY FLAT; ENERGY DENSITY; FLUID SPHERES; MASS; STABILITY; CRACKING;
D O I
10.1140/epjc/s10052-017-5322-7
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
A simple classification is given of the anisotropic relativistic star models, resembling the one of charged isotropic solutions. On the ground of this database, and taking into account the conditions for physically realistic star models, a method is proposed for generating all such solutions. It is based on the energy density and the radial pressure as seeding functions. Numerous relations between the realistic conditions are found and the need for a graphic proof is reduced just to one pair of inequalities. This general formalism is illustrated with an example of a class of solutions with linear equation of state and simple energy density. It is found that the solutions depend on three free constants and concrete examples are given. Some other popular models are studied with the same method.
引用
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页数:12
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