Abstract
The vacuum field equations are solved in a V2 following from the scale-invariant gravitational Lagrangian £=Rk+1. For £=R2, exactly six solutions exist. Just one of them breaks the scale-invariance and has indefinite signature. For k→0, nontrivial results also arise. Their relation to two-dimensional quantum gravity is discussed. For £=F(R) a Birkhoff-type theorem holds.
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