@Article{Mauro_etal2015, author="Mauro, S. and Balbinot, R. and Fabbri, A. and Shapiro, I. L.", title="Fourth derivative gravity in the auxiliary fields representation and application to the black-hole stability", journal="European Physical Journal Plus", year="2015", publisher="Springer Heidelberg", volume="130", number="7", pages="135--8pp", 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 detail 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 clearer. 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.", optnote="WOS:000358147100003", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2309), last updated on Mon, 17 Aug 2015 09:40:11 +0000", issn="2190-5444", doi="10.1140/epjp/i2015-15135-0", opturl="http://arxiv.org/abs/arXiv:1504.06756", opturl="https://doi.org/10.1140/epjp/i2015-15135-0", archivePrefix="arXiv", eprint="arXiv:1504.06756", language="English" }