All static spherically symmetric anisotropic solutions for general relativistic polytropes

被引：15

作者：

Abellan, G. ^{[1
]}

Bargueno, P. ^{[2
]}

Contreras, E. ^{[3
]}

Fuenmayor, E. ^{[1
]}

机构：

[1] Univ Cent Venezuela, Fac Ciencias, Ctr Fis Teor & Computac, AP 20513, Caracas 1020 A, Venezuela

[2] Univ Alicante, Dept Fis Aplicada, Campus San Vicente del Raspeig, Alicante 03690, Spain

[3] Univ San Francisco Quito, Dept Fis, Colegio Ciencias & Ingn, Quito 170901, Ecuador

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2020年 / 29卷 / 12期

关键词：

Anisotropic solutions; stellar interior; polytropic equation of state; MASS-RADIUS RELATION; BULK VISCOSITY; LOCAL ANISOTROPY; MAGNETIC-FIELDS; FLUID SPHERES; WHITE-DWARFS; STARS; DISCOVERY; MODEL;

D O I：

10.1142/S0218271820500820

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work, we develop an algorithm to construct all static spherically symmetric anisotropic solutions for general relativistic polytropes. To this end, we follow the strategy presented by K. Lake in Phys. Rev. D 67 (2003) 104015 to obtain all static spherically symmetric perfect fluid solutions and then extended by L. Herrera et al., Phys. Rev. D 77 (2008) 027502 to the interesting case of locally anisotropic fluids. The formalism here developed requires the knowledge of only one function to generate all possible solutions. To illustrate the method, we obtain formal expressions for the generating functions of known polytopic solutions. Additionally, we obtain the generating function for both the conformally flat and class 1 polytropes.

引用

页数：13

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