Eur. Phys. J. C (2019) 79: 51
https://doi.org/10.1140/epjc/s10052-019-6555-4

Regular Article - Theoretical Physics

Polytropic stars in Palatini gravity

¹ Institute of Physics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031, Lublin, Poland
² Núcleo Cosmo-ufes & PPGCosmo, Universidade Federal do Espírito Santo, Vitória, ES, 29075-910, Brasil

^* e-mail: aneta.wojnar@poczta.umcs.lublin.pl

Received: 3 September 2018
Accepted: 5 January 2019
Published online: 21 January 2019

Abstract

We have derived a modified Lane–Emden equation for the Starobinsky model in Palatini gravity which is numerically solvable. Comparing the results to the ones provided by General Relativity we observe a significant difference depending on the theory parameter for the relations.