A new duality transformation for fourth-order gravity
General Relativity and Quantum Cosmology
2015-06-25 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9703002,
title = {A new duality transformation for fourth-order gravity},
author = {Hans - Juergen Schmidt},
journal= {arXiv preprint arXiv:gr-qc/9703002},
year = {2015}
}
Comments
11 pages, LaTeX, no figures. Gen. Relat. Grav. in print