All static spherically symmetric anisotropic solutions for general relativistic polytropes
General Relativity and Quantum Cosmology
2020-10-28 v3
Abstract
An algorithm presented by K. Lake to obtain all static spherically symmetric perfect fluid solutions was recently extended by L. Herrera to the interesting case of locally anisotropic fluids (principal stresses unequal). In this work we develop an algorithm to construct all static spherically symmetric anisotropic solutions for general relativistic polytropes. Again the formalism requires the knowledge of only one function (instead of two) to generate all possible solutions. To illustrate the method some known cases are recovered.
Keywords
Cite
@article{arxiv.1905.05378,
title = {All static spherically symmetric anisotropic solutions for general relativistic polytropes},
author = {G. Abellán and P. Bargueño and E. Contreras and E. Fuenmayor},
journal= {arXiv preprint arXiv:1905.05378},
year = {2020}
}
Comments
Figures added, new section added