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

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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.

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Authors and Affiliations

  1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, CEP: 36036-330, Juiz de Fora, MG, Brazil

    Sebastião Mauro & Ilya L. Shapiro

  2. Dipartimento di Fisica dell’Università di Bologna, Via Irnerio 46, I-40126, Bologna, Italy

    Roberto Balbinot & Alessandro Fabbri

  3. INFN, Sezione di Bologna, Via Irnerio 46, I-40126, Bologna, Italy

    Roberto Balbinot

  4. Centro Studi e Ricerche E. Fermi, Piazza del Viminale 1, I-00184, Roma, Italy

    Roberto Balbinot & Alessandro Fabbri

  5. Departamento de Fisica Teorica and IFIC, Universidad de Valencia-CSIC, C. Dr. Moliner, 60, E-46100, Burjassot, Spain

    Alessandro Fabbri

  6. Laboratoire de Physique Théorique d’Orsay, Bâtiment 210, Université Paris-Sud 11, F-91405, Orsay Cedex, France

    Alessandro Fabbri

  7. Tomsk State Pedagogical University and Tomsk State University, 634041, Tomsk, Russia

    Ilya L. Shapiro

Authors
  1. Sebastião Mauro
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  2. Roberto Balbinot
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  3. Alessandro Fabbri
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  4. Ilya L. Shapiro
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Correspondence to Alessandro Fabbri.

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Mauro, S., Balbinot, R., Fabbri, A. et al. Fourth derivative gravity in the auxiliary fields representation and application to the black-hole stability. Eur. Phys. J. Plus 130, 135 (2015). https://doi.org/10.1140/epjp/i2015-15135-0

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  • DOI: https://doi.org/10.1140/epjp/i2015-15135-0

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