TL;DR
This paper derives a modified Lane-Emden equation for polytropic stars within the Starobinsky model of Palatini gravity and compares the stellar mass-radius relations to those predicted by General Relativity, revealing significant differences.
Contribution
It introduces a new modified Lane-Emden equation specific to the Starobinsky model in Palatini gravity and analyzes its impact on stellar structure.
Findings
Significant differences in mass-radius relations between Palatini gravity and General Relativity.
The modified Lane-Emden equation is numerically solvable.
The results depend strongly on the theory parameter.
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.
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