A new duality transformation for fourth-order gravity

Abstract

We prove that for non-linear L = L(R), the Lagrangians L and \hat 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.

11 pages, LaTeX, no figures. Gen. Relat. Grav. in print

References in corpus (4)

• Conformal Transformation in Gravity
• Comparing selfinteracting scalar fields and R + R^3 cosmological models
• A Four-Dimensional Theory for Quantum Gravity with Conformal and Nonconformal Explicit Solutions
• Conformal Coupling and Invariance in Different Dimensions

Cited by in corpus (1)

• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality