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2016

On Brane Instabilities in the Large $D$ Limit

Rozali, Moshe, Vincart-Emard, Alexandre

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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.

On Brane Instabilities in the Large $D$ Limit · Around

Built on

R. Gregory and R. Laflamme, Black strings and p-branes are unstable
1993
Earlier work this paper cites.
R. Gregory and R. Laflamme, The Instability of charged black strings and p-branes
1994
Earlier work this paper cites.
G. T. Horowitz and K. Maeda, Fate of the black string instability
2001
Earlier work this paper cites.
M. W. Choptuik, L. Lehner, I. Olabarrieta, R. Petryk, F. Pretorius, and H. Villegas, Towards the final fate of an unstable black string
2003
Earlier work this paper cites.
E. Sorkin, A Critical dimension in the black string phase transition
2004
Earlier work this paper cites.

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T. Harmark, V. Niarchos, and N. A. Obers, Instabilities of black strings and branes
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A. Donos and J. P. Gauntlett, On the thermodynamics of periodic AdS black branes
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L. Lehner and F. Pretorius, Final State of Gregory-Laflamme Instability
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R. Emparan, K. Izumi, R. Luna, R. Suzuki, and K. Tanabe, Hydro-elastic Complementarity in Black Branes at large D
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S. Bhattacharyya, M. Mandlik, S. Minwalla, and S. Thakur, A Charged Membrane Paradigm at Large D
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C. P. Herzog, M. Spillane, and A. Yarom, The holographic dual of a Riemann problem in a large number of dimensions
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Cited in the paper.

Then

J. Gath and A. V. Pedersen, Viscous asymptotically flat Reissner-Nordstrom black branes
Original
2014
Later among the works it cites.
R. Emparan, R. Suzuki, and K. Tanabe, Decoupling and non-decoupling dynamics of large D black holes
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2014
Later among the works it cites.
R. Suzuki and K. Tanabe, Non-uniform black strings and the critical dimension in the 1 / D 1/D expansion
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2015
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R. Emparan, R. Suzuki, and K. Tanabe, Evolution and End Point of the Black String Instability: Large D Solution
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2015
Later among the works it cites.
A. Donos and J. P. Gauntlett, Minimally packed phases in holography
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