Cooling process of brown dwarfs in Palatini f(R) gravity

We present an analytical model for the evolution of brown dwarfs in quadratic Palatini f® gravity. We improve previous studies by adopting a more realistic description of the partially-degenerate state that characterizes brown dwarfs. Furthermore, we take into account the hydrogen metallic-molecular phase transition between the interior of the brown dwarf and its photosphere. For such improved model, we revise the cooling process of sub-stellar objects.