In the present work we apply non extensive statistics to obtain equations of state suitable to describe stellar matter and verify its effects on microscopic and macroscopic quantities .
Two snapshots of the star evolution are considered and the direct Urca process is investigated with two different parameter sets . q -values are chosen as 1.05 and 1.14 .
The equations of state are only slightly modified , but the effects are enough to produce stars with slightly higher maximum masses .
The onsets of the constituents are more strongly affected and the internal stellar temperature decreases with the increase of the q -value , with consequences on the strangeness and cooling rates of the stars .