| Domaine : |
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| Titre : |
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AdS/Ricci-flat correspondence and the Gregory-Laflamme instability |
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| Auteur(s) : |
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Marco M. Caldarelli1, 2, 3, Joan Camps4, 5, B. Goutéraux6, 7, 8, 9, Kostas Skenderis3, 10 |
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| Laboratoire : |
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| équipe(s) de recherche : |
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APC - THEORIE |
| Résumé : |
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We show that for every asymptotically AdS solution compactified on a torus there is a corresponding Ricci-flat solution obtained by replacing the torus by a sphere, performing a Weyl rescaling of the metric and appropriately analytically continuing the dimension of the torus/sphere (as in generalized dimensional reduction). This correspondence should allow us to develop a holographic dictionary for Ricci-flat spacetimes. In particular, it maps Minkowski spacetime to AdS on a torus, the holographic stress energy tensor of AdS to the stress energy tensor due to a brane localized in the interior of spacetime and AdS black branes to (asymptotically flat) Schwarzschild black branes. Applying it to the known solutions describing the hydrodynamic regime in AdS/CFT we compute the dispersion relation of the Gregory-Laflamme unstable modes through cubic order in the wavenumber finding remarkable agreement with numerical data. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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12/11/2012 |
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| Journal : |
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| Physical Review D (Phys. Rev. D) |
| Publisher |
American Physical Society |
| ISSN |
1550-7998 (eISSN : 1550-2368) |
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| Audience : |
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internationale |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Date de publication : |
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03/2013 |
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| Volume : |
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87 |
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| Page, identifiant, ... : |
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061502 |
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| Commentaire : |
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6 pages, 1 figure |
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| Référence interne : |
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LPT-ORSAY 12-108, CCTP-2012-25, CPHT-RR076.1112, DCPT-12/45, NORDITA-2012-87 |
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