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Einstein-Gauss-Bonnet black strings

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Abstract

We construct uniform black string solutions in Einstein-Gauss-Bonnet gravity for all dimensions d between five and ten and discuss their basic properties. Closed form solutions are found by taking the Gauss-Bonnet term as a perturbation from pure Einstein gravity. Nonperturbative solutions are constructed by solving numerically the equations of the model. The Gregory-Laflamme instability of the black strings is explored via linearized perturbation theory. Our results indicate that new qualitative features occur for d = 6, in which case stable, infinitely long black strings exist for large enough values of the Gauss-Bonnet coupling constant. For other dimensions, the black strings are dynamically unstable and have also a negative specific heat. We argue that this provides an explicit realization of the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. Non-uniform black strings in Einstein-Gauss-Bonnet theory are also constructed in six spacetime dimensions.

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Authors and Affiliations

  1. Physique-Mathématique, Université de Mons, Place du Parc, B-7000, Mons, Belgique

    Yves Brihaye & Terence Delsate

  2. Institut für Physik, Universität Oldenburg, Postfach 2503, D-26111, Oldenburg, Germany

    Eugen Radu

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  1. Yves Brihaye
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  2. Terence Delsate
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  3. Eugen Radu
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Correspondence to Terence Delsate.

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ArXiv ePrint: 1004.2164

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Brihaye, Y., Delsate, T. & Radu, E. Einstein-Gauss-Bonnet black strings. J. High Energ. Phys. 2010, 22 (2010). https://doi.org/10.1007/JHEP07(2010)022

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