  We show how the demon of Frieden and Soffer, working in a non-extensive
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,
{\it in a nonextensive Tsallis scenario}.
