Fourth derivative gravity in the auxiliary fields representation and application to the black hole stability
General Relativity and Quantum Cosmology
2015-04-28 v1
Abstract
We consider an auxiliary fields formulation for the general fourth-order gravity on an arbitrary curved background. The case of a Ricci-flat background is elaborated in full details and it is shown that there is an equivalence with the standard metric formulation. At the same time, using auxiliary fields helps to make perturbations to look simpler and the results more clear. As an application we reconsider the linear perturbations for the classical Schwarzschild solution. We also briefly discuss the relation to the effect of massive unphysical ghosts in the theory.
Keywords
Cite
@article{arxiv.1504.06756,
title = {Fourth derivative gravity in the auxiliary fields representation and application to the black hole stability},
author = {Sebastiao Mauro and Roberto Balbinot and Alessandro Fabbri and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:1504.06756},
year = {2015}
}
Comments
11 pages, no figures