English

The Palatini star: exact solutions of the modified Lane-Emden equation

General Relativity and Quantum Cosmology 2020-04-22 v1 Solar and Stellar Astrophysics

Abstract

Two exact solutions for n=0n=0 and n=1n=1 of the Palatini-modified Lane-Emden equation are found. We have employed these solutions to describe a Palatini-Newtonian neutron star and compared the result with the pure Newtonian counterpart. It turned out that for the negative parameter of the Starobinsky model the star is heavier and larger.

Keywords

Cite

@article{arxiv.1901.10448,
  title  = {The Palatini star: exact solutions of the modified Lane-Emden equation},
  author = {A. Sergyeyev and A. Wojnar},
  journal= {arXiv preprint arXiv:1901.10448},
  year   = {2020}
}

Comments

6 pages, 1 figure