1. The problem statement, all variables and given/known data Show that a lambda-dominated euclidean universe entails an exponential expansion. 2. Relevant equations Equation of state is P=-E (E=epsilon) There is no curvature (i.e. a flat universe) The Friedmann equation is then ((a(dot)/a)^2)=((8piG)/3c^2)E + lambda/3 (eq. 1) which -- and this is where I get lost -- is equivalent to ((a(dot)/a)^2)=((8piG)/3c^2)Elambda (eq. 2) 3. The attempt at a solution lambda/3 = ((8piG)/3c^2)Elambda, but if I make this substitution into the Friedmann equation, I get ((a(dot)/a)^2)=((8piG)/3c^2)E + ((8piG)/3c^2)Elambda What am I doing wrong? I'm after (eq. 2).