All right, enough of this horse -- uh, lamb*d*a play, here. Yeah, quit lambda-ing around here.
Well, let's lambda around in a way related to the OP. DeSitter space, the empty (devoid of mass-energy) "lambdavacuum", is very much related to the famous metric that bears Rindler's name. Well, it is related to what Rindler's metric is based on/related to itself, I should say.
100 points to who can tell us that relation. Hint: Balloon, embedding space. As you know, expanding space-time is often described as like the surface of a balloon. Well, that can be made rigorous, actually, for a lambavacuum.
-Richard