The Palatini star: exact solutions of the modified Lane-Emden equation (1901.10448v1)

Published 29 Jan 2019 in gr-qc and astro-ph.SR

Abstract: Two exact solutions for $n=0$ and $n=1$ 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.

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