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AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
Caldarelli M. M., Camps J., Goutéraux B., Skenderis K.
Physical Review D 87 (2013) 061502 - http://hal.archives-ouvertes.fr/hal-00752386
Physique/Relativité Générale et Cosmologie Quantique
Physique/Physique des Hautes Energies - Théorie
AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
Marco M. Caldarelli1, 2, 3, Joan Camps4, 5, B. Goutéraux6, 7, 8, 9, Kostas Skenderis3, 10
1 :  LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
CNRS : UMR8627 – Université Paris XI - Paris Sud
Bâtiment 210 Université Paris XI 91405 Orsay Cedex
France
2 :  CPHT - Centre de Physique Théorique [Palaiseau]
CNRS : UMR7644 – Polytechnique - X
Ecole Polytechnique 91128 Palaiseau cedex
France
3 :  School of Mathematics
University of Southampton
Royaume-Uni
4 :  DAMTP/CMS - Department of Applied Mathematics and Theoretical Physics / Centre for Mathematical Sciences
http://www.damtp.cam.ac.uk/
Université de Cambridge
DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA
Royaume-Uni
5 :  Dept. of Mathematical Sciences & CPT
Durham University
Durham
Royaume-Uni
6 :  Nordita
KTH Royal Institute of Technology & Stockholm University
Stockholm
Suède
7 :  Crete Center for Theoretical Physics
University of Crete
Department of Physics, Heraklion
Grèce
8 :  APC - UMR 7164 - AstroParticule et Cosmologie
http://www.apc.univ-paris7.fr/
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
France
9 :  Physics Department
http://www.uoc.gr/Department/index.html
University of Crete
University of Crete Department of Physics P.O Box 2208 GR-71003 Heraklion, Greece
Grèce
10 :  Korteweg-de Vries Institute for Mathematics
Universiteit van Amsterdam
Science Park 904, 1090 GL Amsterdam
Pays-Bas
APC - THEORIE
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.
Anglais
12/11/2012

Physical Review D (Phys. Rev. D)
Publisher American Physical Society
ISSN 1550-7998 (eISSN : 1550-2368)
internationale
Articles dans des revues avec comité de lecture
03/2013
87
061502

6 pages, 1 figure
LPT-ORSAY 12-108, CCTP-2012-25, CPHT-RR076.1112, DCPT-12/45, NORDITA-2012-87

Lien vers le texte intégral : 
http://fr.arXiv.org/abs/1211.2815