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Lovelock Theory, Black Holes and Holography

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Progress in Mathematical Relativity, Gravitation and Cosmology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 60))

Abstract

Lovelock theory is the natural extension of general relativity to higher dimensions. It can be also thought of as a toy model for ghost-free higher curvature gravity. It admits a family of AdS vacua, most (but not all) of them supporting black holes that display interesting features. This provides an appealing arena to explore different holographic aspects in the context of the AdS/CFT correspondence.

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Notes

  1. 1.

    If λ < 0, there is no a priori lower bound for it and it is clear that Λ + becomes positive.

  2. 2.

    Recall that it is the branch crossing g = 0 with slope Υ′[0] = 1.

  3. 3.

    Other components of the metric fluctuations must be considered as well, but they are irrelevant for our current discussion.

  4. 4.

    Notice that we are splitting time and space indices and, thus, from now on vectors are understood as (d − 2) dimensional objects.

  5. 5.

    The same computation can be carried out with vector and scalar gravitons, and the result in these two cases will be obvious from the present analysis.

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Acknowledgements

I am very pleased to thank Xián Camanho, Gastón Giribet, Andy Gomberoff and Miguel Paulos for collaboration on this subject and most interesting discussions held throughout the last few years. I would also like to thank the organizers of the Spanish Relativity Meeting in Portugal (ERE2012) for the invitation to present my work and for the nice scientific and friendly atmosphere that prevailed during my stay in Guimarães. This work is supported in part by MICINN and FEDER (grant FPA2011-22594), by Xunta de Galicia (Consellería de Educación and grant PGIDIT10PXIB206075PR), and by the Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007-00042). The Centro de Estudios Científicos (CECs) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt.

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Authors and Affiliations

  1. Department of Particle Physics and IGFAE, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    José D. Edelstein

  2. Centro de Estudios Científicos CECs, Av. Arturo Prat 514, Valdivia, Chile

    José D. Edelstein

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  1. José D. Edelstein
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Correspondence to José D. Edelstein .

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Editors and Affiliations

  1. Dept. of Mathematics, University of Minho, Braga, Portugal

    Alfonso García-Parrado

  2. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe C. Mena

  3. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe Moura

  4. Dept. of Mathematics, University of Minho, Braga, Portugal

    Estelita Vaz

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Edelstein, J.D. (2014). Lovelock Theory, Black Holes and Holography. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_2

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