A new duality transformation for fourth–order gravity
نویسنده
چکیده
We prove that for non–linear L = L(R), G = dL/dR 6= 0 the Lagrangians L and L̂(R̂) with L̂ = 2R/G3 − 3L/G4, ĝij = G2 gij and R̂ = 3R/G2 − 4L/G3 give conformally equivalent fourth–order field equations being dual to each other. The proof represents a new application of the fact that the operator 2−R6 is conformally invariant. Gen. Rel. Grav. in print; KEY: Conformal relations in fourth–order gravity
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