Abstract
Using an expansion in large number of dimensions, taken to subleading orders, we discuss several issues concerning the Gregory-Laflamme instabilities. We map out the phase diagram of neutral and charged black strings, and comment on the possible transition in the nature of the final state of the instability at higher order in the 1/D expansion. We also discuss unstable black membranes, and show that in certain limits the preferred shape of the non-uniform phase is a triangular lattice.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].
R. Gregory and R. Laflamme, The instability of charged black strings and p-branes, Nucl. Phys. B 428 (1994) 399 [hep-th/9404071] [INSPIRE].
T. Harmark, V. Niarchos and N.A. Obers, Instabilities of black strings and branes, Class. Quant. Grav. 24 (2007) R1 [hep-th/0701022] [INSPIRE].
E. Sorkin, A critical dimension in the black string phase transition, Phys. Rev. Lett. 93 (2004) 031601 [hep-th/0402216] [INSPIRE].
M.W. Choptuik, L. Lehner, I. Olabarrieta, R. Petryk, F. Pretorius and H. Villegas, Towards the final fate of an unstable black string, Phys. Rev. D 68 (2003) 044001 [gr-qc/0304085] [INSPIRE].
L. Lehner and F. Pretorius, Final State of Gregory-Laflamme Instability, arXiv:1106.5184 [INSPIRE].
G.T. Horowitz and K. Maeda, Fate of the black string instability, Phys. Rev. Lett. 87 (2001) 131301 [hep-th/0105111] [INSPIRE].
R. Emparan, R. Suzuki and K. Tanabe, The large D limit of General Relativity, JHEP 06 (2013) 009 [arXiv:1302.6382] [INSPIRE].
R. Suzuki and K. Tanabe, Non-uniform black strings and the critical dimension in the 1/D expansion, JHEP 10 (2015) 107 [arXiv:1506.01890] [INSPIRE].
R. Emparan, R. Suzuki and K. Tanabe, Evolution and End Point of the Black String Instability: Large D Solution, Phys. Rev. Lett. 115 (2015) 091102 [arXiv:1506.06772] [INSPIRE].
R. Emparan, K. Izumi, R. Luna, R. Suzuki and K. Tanabe, Hydro-elastic Complementarity in Black Branes at large D, JHEP 06 (2016) 117 [arXiv:1602.05752] [INSPIRE].
S. Bhattacharyya, M. Mandlik, S. Minwalla and S. Thakur, A Charged Membrane Paradigm at Large D, JHEP 04 (2016) 128 [arXiv:1511.03432] [INSPIRE].
M.M. Caldarelli, R. Emparan and B. Van Pol, Higher-dimensional Rotating Charged Black Holes, JHEP 04 (2011) 013 [arXiv:1012.4517] [INSPIRE].
J. Camps, R. Emparan and N. Haddad, Black Brane Viscosity and the Gregory-Laflamme Instability, JHEP 05 (2010) 042 [arXiv:1003.3636] [INSPIRE].
J. Gath and A.V. Pedersen, Viscous asymptotically flat Reissner-Nordström black branes, JHEP 03 (2014) 059 [arXiv:1302.5480] [INSPIRE].
R. Emparan, R. Suzuki and K. Tanabe, Decoupling and non-decoupling dynamics of large D black holes, JHEP 07 (2014) 113 [arXiv:1406.1258] [INSPIRE].
C.P. Herzog, M. Spillane and A. Yarom, The holographic dual of a Riemann problem in a large number of dimensions, JHEP 08 (2016) 120 [arXiv:1605.01404] [INSPIRE].
A. Donos and J.P. Gauntlett, On the thermodynamics of periodic AdS black branes, JHEP 10 (2013) 038 [arXiv:1306.4937] [INSPIRE].
A. Donos and J.P. Gauntlett, Minimally packed phases in holography, JHEP 03 (2016) 148 [arXiv:1512.06861] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1607.01747
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Rozali, M., Vincart-Emard, A. On brane instabilities in the large D limit. J. High Energ. Phys. 2016, 166 (2016). https://doi.org/10.1007/JHEP08(2016)166
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2016)166