PT Journal AU Mauro, S Balbinot, R Fabbri, A Shapiro, IL TI Fourth derivative gravity in the auxiliary fields representation and application to the black-hole stability SO European Physical Journal Plus JI Eur. Phys. J. Plus PY 2015 BP 135 EP 8pp VL 130 IS 7 DI 10.1140/epjp/i2015-15135-0 LA English AB 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. ER