English

The double polytrope for anisotropic matter: Newtonian Case

General Relativity and Quantum Cosmology 2020-07-02 v1

Abstract

A general formalism developed few years ago to model polytropic Newtonian stars with anisotropic pressure is applied to model stars for which, both, radial and tangential pressure satisfy polytropic equations of state. We obtain the corresponding Lane--Emden equation, and integrate it for a wide range of values of the parameters, thereby illustrating the effects of the pressure anisotropy on stellar objects. We calculate Chandrasekhar mass for a white dwarf and compare it with previous results. Finally, prospective applications to some astrophysical scenarios are discussed.

Keywords

Cite

@article{arxiv.2004.10635,
  title  = {The double polytrope for anisotropic matter: Newtonian Case},
  author = {G. Abellan and E. Fuenmayor and L. Herrera},
  journal= {arXiv preprint arXiv:2004.10635},
  year   = {2020}
}

Comments

7 pages, 6 figures

R2 v1 2026-06-23T15:01:46.498Z