Fourth derivative gravity in the auxiliary fields representation and application to the black hole stability

Bibliographic Details
Title: Fourth derivative gravity in the auxiliary fields representation and application to the black hole stability
Authors: Mauro, Sebastiao, Balbinot, Roberto, Fabbri, Alessandro, Shapiro, Ilya L.
Publication Year: 2015
Collection: General Relativity and Quantum Cosmology
Subject Terms: General Relativity and Quantum Cosmology, 83D05, 83C57
More Details: 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.
Comment: 11 pages, no figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/1504.06756
Accession Number: edsarx.1504.06756
Database: arXiv
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