Cosmological applications of the Frieden–Soffer nonextensive information transfer game

We show how the demon of Frieden and Soffer, working in a nonextensive statistical scenario, is able to devise solutions to some of Einstein’s field equations by recourse to nonlocal changes of variables between appropriate differential equations. It is seen that a variety of cosmological problems involving Einstein’s field equations can be reinterpreted as situations in which the pertinent solution is obtained, with tools of Statistical Mechanics, in a nonextensive Tsallis scenario.