TY  - JOUR
AU  - Mauro, S.
AU  - Balbinot, R.
AU  - Fabbri, A.
AU  - Shapiro, I. L.
PY  - 2015
DA  - 2015//
TI  - Fourth derivative gravity in the auxiliary fields representation and application to the black-hole stability
T2  - Eur. Phys. J. Plus
JO  - European Physical Journal Plus
SP  - 135
EP  - 8pp
VL  - 130
IS  - 7
PB  - Springer Heidelberg
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.
SN  - 2190-5444
UR  - http://arxiv.org/abs/arXiv:1504.06756
UR  - https://doi.org/10.1140/epjp/i2015-15135-0
DO  - 10.1140/epjp/i2015-15135-0
LA  - English
N1  - WOS:000358147100003
ID  - Mauro_etal2015
ER  -