https://doi.org/10.1140/epjp/i2015-15135-0
Regular Article
Fourth derivative gravity in the auxiliary fields representation and application to the black-hole stability
1
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, CEP: 36036-330, Juiz de Fora, MG, Brazil
2
Dipartimento di Fisica dell’Università di Bologna, Via Irnerio 46, I-40126, Bologna, Italy
3
INFN, Sezione di Bologna, Via Irnerio 46, I-40126, Bologna, Italy
4
Centro Studi e Ricerche E. Fermi, Piazza del Viminale 1, I-00184, Roma, Italy
5
Departamento de Fisica Teorica and IFIC, Universidad de Valencia-CSIC, C. Dr. Moliner, 60, E-46100, Burjassot, Spain
6
Laboratoire de Physique Théorique d’Orsay, Bâtiment 210, Université Paris-Sud 11, F-91405, Orsay Cedex, France
7
Tomsk State Pedagogical University and Tomsk State University, 634041, Tomsk, Russia
* e-mail: afabbri@ific.uv.es
Received:
29
April
2015
Revised:
9
June
2015
Accepted:
18
June
2015
Published online:
20
July
2015
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015