https://doi.org/10.1140/epjc/s10052-020-7876-z
Regular Article - Theoretical Physics
The Palatini star: exact solutions of the modified Lane–Emden equation
1
Mathematical Institute, Silesian University in Opava, Na Rybníčku 1, 74601, Opava, Czech Republic
2
Núcleo Cosmo-ufes and PPGCosmo, Universidade Federal do Espírito Santo, Vitória, ES, 29075-910, Brasil
* e-mail: aneta.wojnar@cosmo-ufes.org
Received:
23
October
2019
Accepted:
24
March
2020
Published online:
8
April
2020
Two exact solutions for 
and 
of the Palatini-modified Lane–Emden equation are found. We have employed these solutions to describe a Palatini–Newtonian neutron or low mass brown dwarf 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.
© The Author(s), 2020
