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A new duality transformation for fourth-order gravity

Hans - Juergen Schmidt

gr-qcarXiv:gr-qc/9703002

Abstract

We prove that for non-linear L = L(R), the Lagrangians L and L give conformally equivalent fourth-order field equations being dual to each other. The proof represents a new application of the fact that the operator <D'Alembertian minus R/6> is conformally invariant.

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