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 betwee
n appropriate differential equations. It is seen that a variety of cos
mological problems involving Einstein's field equations can be reinter
preted as situations in which the pertinent solution is obtained, with
tools of Statistical Mechanics, in a nonextensive Tsallis scenario. (
C) 1998 Elsevier Science B.V. All rights reserved.