Newtonian polytropes for anisotropic matter: General framework and applications
Instrumentation and Methods for Astrophysics
2015-06-15 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We set up the general formalism to model polytropic Newtonian stars with anisotropic pressure. We obtain the corresponding Lane-Emden equation. A heuristic model based on an ansatz to obtain anisotropic matter solutions from known solutions for isotropic matter is adopted to illustrate the effects of the pressure anisotropy on the structure of the star. In particular, we calculate the Chandrasekhar mass for a white dwarf. It is clearly displayed how the Chandrasekhar mass limit changes depending on the anisotropy. Prospective astrophysical applications of the proposed approach are discussed.
Keywords
Cite
@article{arxiv.1304.2824,
title = {Newtonian polytropes for anisotropic matter: General framework and applications},
author = {L. Herrera and W. Barreto},
journal= {arXiv preprint arXiv:1304.2824},
year = {2015}
}
Comments
6 pages revtex4, 3 figures. Updated version to appear in Physical Review D