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