Polytropic stars in Palatini gravity

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 $M-R$ relations.Comment: 8 pages, 1 table, 3 figures, version accepted to EPJ

A simple model for explaining Galaxy Rotation Curves

A new simple expression for the circular velocity of spiral galaxies is proposed and tested against HI Nearby Galaxy Survey (THINGS) data set. Its accuracy is compared with the one coming from MOND.Comment: 9 pages, 3 figures, 2 tables; this article is connected to arXiv:1705.0413