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Lumpy AdS5× S5 black holes and black belts

Lumpy AdS5× S5 black holes and black belts
Lumpy AdS5× S5 black holes and black belts
Sufficiently small Schwarzschild black holes in global AdS5×S5 are Gregory-Laflamme unstable. We construct new families of black hole solutions that bifurcate from the onset of this instability and break the full SO(6) symmetry group of the S5 down to SO(5). These new “lumpy” solutions are labelled by the harmonics ℓ. We find evidence that the ℓ = 1 branch never dominates the microcanonical/canonical ensembles and connects through a topology-changing merger to a localised black hole solution with S8 topology. We argue that these S8 black holes should become the dominant phase in the microcanonical ensemble for small enough energies, and that the transition to Schwarzschild black holes is first order. Furthermore, we find two branches of solutions with ℓ = 2. We expect one of these branches to connect to a solution containing two localised black holes, while the other branch connects to a black hole solution with horizon topology S4 × S4 which we call a “black belt”.
Gauge-gravity correspondence, Black Holes in String Theory , AdS-CFT Correspondence, Black Holes
1029-8479
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
adb5ea4d-2dc9-4be5-8ff1-3f656cb8675c
Way, Benson
99fa9728-59fa-4b8a-b2d8-4d5220159735
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
adb5ea4d-2dc9-4be5-8ff1-3f656cb8675c
Way, Benson
99fa9728-59fa-4b8a-b2d8-4d5220159735

Campos Dias, Oscar, Santos, Jorge E. and Way, Benson (2015) Lumpy AdS5× S5 black holes and black belts. The Journal of High Energy Physics, 04 (060). (doi:10.1007/JHEP04(2015)060).

Record type: Article

Abstract

Sufficiently small Schwarzschild black holes in global AdS5×S5 are Gregory-Laflamme unstable. We construct new families of black hole solutions that bifurcate from the onset of this instability and break the full SO(6) symmetry group of the S5 down to SO(5). These new “lumpy” solutions are labelled by the harmonics ℓ. We find evidence that the ℓ = 1 branch never dominates the microcanonical/canonical ensembles and connects through a topology-changing merger to a localised black hole solution with S8 topology. We argue that these S8 black holes should become the dominant phase in the microcanonical ensemble for small enough energies, and that the transition to Schwarzschild black holes is first order. Furthermore, we find two branches of solutions with ℓ = 2. We expect one of these branches to connect to a solution containing two localised black holes, while the other branch connects to a black hole solution with horizon topology S4 × S4 which we call a “black belt”.

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Published date: 13 April 2015
Keywords: Gauge-gravity correspondence, Black Holes in String Theory , AdS-CFT Correspondence, Black Holes
Organisations: Applied Mathematics

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Local EPrints ID: 410351
URI: https://eprints.soton.ac.uk/id/eprint/410351
ISSN: 1029-8479
PURE UUID: 225fa667-faa8-4878-b5c3-684e54e26536

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Date deposited: 07 Jun 2017 16:30
Last modified: 13 Mar 2019 19:48

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Contributors

Author: Jorge E. Santos
Author: Benson Way

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