Lattice black branes at large D. (English) Zbl 1522.83205
Summary: We explore the phase space of non-uniform black branes compactified on oblique lattices with a large number of dimensions. We find the phase diagrams for different periodicities and angles, and determine the thermodynamically preferred phases for each lattice configuration. In a range of angles, we observe that some phases become metastable.
MSC:
| 83C57 | Black holes |
| 83E30 | String and superstring theories in gravitational theory |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
References:
| [1] | Gregory, R.; Laflamme, R., Black strings and p-branes are unstable, Phys. Rev. Lett., 70, 2837 (1993) · Zbl 1051.83544 · doi:10.1103/PhysRevLett.70.2837 |
| [2] | Gregory, R.; Laflamme, R., The Instability of charged black strings and p-branes, Nucl. Phys. B, 428, 399 (1994) · Zbl 1037.83509 · doi:10.1016/0550-3213(94)90206-2 |
| [3] | Gubser, SS, On nonuniform black branes, Class. Quant. Grav., 19, 4825 (2002) · Zbl 1026.83058 · doi:10.1088/0264-9381/19/19/303 |
| [4] | Wiseman, T., Static axisymmetric vacuum solutions and nonuniform black strings, Class. Quant. Grav., 20, 1137 (2003) · Zbl 1051.83018 · doi:10.1088/0264-9381/20/6/308 |
| [5] | Kudoh, H.; Wiseman, T., Connecting black holes and black strings, Phys. Rev. Lett., 94 (2005) · doi:10.1103/PhysRevLett.94.161102 |
| [6] | Lehner, L.; Pretorius, F., Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship, Phys. Rev. Lett., 105 (2010) · doi:10.1103/PhysRevLett.105.101102 |
| [7] | Figueras, P.; Kunesch, M.; Tunyasuvunakool, S., End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture, Phys. Rev. Lett., 116 (2016) · doi:10.1103/PhysRevLett.116.071102 |
| [8] | Figueras, P.; Kunesch, M.; Lehner, L.; Tunyasuvunakool, S., End Point of the Ultraspinning Instability and Violation of Cosmic Censorship, Phys. Rev. Lett., 118 (2017) · doi:10.1103/PhysRevLett.118.151103 |
| [9] | Bantilan, H.; Figueras, P.; Kunesch, M.; Panosso Macedo, R., End point of nonaxisymmetric black hole instabilities in higher dimensions, Phys. Rev. D, 100 (2019) · doi:10.1103/PhysRevD.100.086014 |
| [10] | Sorkin, E., A Critical dimension in the black string phase transition, Phys. Rev. Lett., 93 (2004) · doi:10.1103/PhysRevLett.93.031601 |
| [11] | Figueras, P.; Murata, K.; Reall, HS, Stable non-uniform black strings below the critical dimension, JHEP, 11, 071 (2012) · Zbl 1397.83144 · doi:10.1007/JHEP11(2012)071 |
| [12] | Dias, OJC; Santos, JE; Way, B., Lattice Black Branes: Sphere Packing in General Relativity, JHEP, 05, 111 (2018) · Zbl 1391.83054 · doi:10.1007/JHEP05(2018)111 |
| [13] | Donos, A.; Gauntlett, JP, On the thermodynamics of periodic AdS black branes, JHEP, 10, 038 (2013) · Zbl 1342.83360 · doi:10.1007/JHEP10(2013)038 |
| [14] | Donos, A.; Gauntlett, JP, Minimally packed phases in holography, JHEP, 03, 148 (2016) · Zbl 1388.83048 · doi:10.1007/JHEP03(2016)148 |
| [15] | Emparan, R.; Herzog, CP, Large D limit of Einstein’s equations, Rev. Mod. Phys., 92 (2020) · doi:10.1103/RevModPhys.92.045005 |
| [16] | Asnin, V.; Gorbonos, D.; Hadar, S.; Kol, B.; Levi, M.; Miyamoto, U., High and Low Dimensions in The Black Hole Negative Mode, Class. Quant. Grav., 24, 5527 (2007) · Zbl 1148.83319 · doi:10.1088/0264-9381/24/22/015 |
| [17] | Emparan, R.; Suzuki, R.; Tanabe, K., The large D limit of General Relativity, JHEP, 06, 009 (2013) · Zbl 1342.83152 · doi:10.1007/JHEP06(2013)009 |
| [18] | Emparan, R.; Shiromizu, T.; Suzuki, R.; Tanabe, K.; Tanaka, T., Effective theory of Black Holes in the 1/D expansion, JHEP, 06, 159 (2015) · Zbl 1388.83432 · doi:10.1007/JHEP06(2015)159 |
| [19] | Suzuki, R.; Tanabe, K., Non-uniform black strings and the critical dimension in the 1/D expansion, JHEP, 10, 107 (2015) · Zbl 1388.83503 · doi:10.1007/JHEP10(2015)107 |
| [20] | Emparan, R.; Suzuki, R.; Tanabe, K., Evolution and End Point of the Black String Instability: Large D Solution, Phys. Rev. Lett., 115 (2015) · doi:10.1103/PhysRevLett.115.091102 |
| [21] | Emparan, R.; Izumi, K.; Luna, R.; Suzuki, R.; Tanabe, K., Hydro-elastic Complementarity in Black Branes at large D, JHEP, 06, 117 (2016) · doi:10.1007/JHEP06(2016)117 |
| [22] | Bhattacharyya, S.; De, A.; Minwalla, S.; Mohan, R.; Saha, A., A membrane paradigm at large D, JHEP, 04, 076 (2016) · Zbl 1388.83007 |
| [23] | Bhattacharyya, S.; Mandlik, M.; Minwalla, S.; Thakur, S., A Charged Membrane Paradigm at Large D, JHEP, 04, 128 (2016) · Zbl 1388.83389 |
| [24] | Emparan, R.; Luna, R.; Martínez, M.; Suzuki, R.; Tanabe, K., Phases and Stability of Non-Uniform Black Strings, JHEP, 05, 104 (2018) · Zbl 1391.83057 · doi:10.1007/JHEP05(2018)104 |
| [25] | Emparan, R.; Suzuki, R., Topology-changing horizons at large D as Ricci flows, JHEP, 07, 094 (2019) · Zbl 1418.83033 · doi:10.1007/JHEP07(2019)094 |
| [26] | Rozali, M.; Vincart-Emard, A., On Brane Instabilities in the Large D Limit, JHEP, 08, 166 (2016) · Zbl 1390.83220 · doi:10.1007/JHEP08(2016)166 |
| [27] | Andrade, T.; Emparan, R.; Jansen, A.; Licht, D.; Luna, R.; Suzuki, R., Entropy production and entropic attractors in black hole fusion and fission, JHEP, 08, 098 (2020) · doi:10.1007/JHEP08(2020)098 |
| [28] | Dias, OJC; Santos, JE; Way, B., Numerical Methods for Finding Stationary Gravitational Solutions, Class. Quant. Grav., 33 (2016) · Zbl 1346.83002 · doi:10.1088/0264-9381/33/13/133001 |
| [29] | Andrade, T.; Emparan, R.; Licht, D., Rotating black holes and black bars at large D, JHEP, 09, 107 (2018) · Zbl 1398.83036 · doi:10.1007/JHEP09(2018)107 |
| [30] | Emparan, R.; Licht, D.; Suzuki, R.; Tomašević, M.; Way, B., Black tsunamis and naked singularities in AdS, JHEP, 02, 090 (2022) · Zbl 1522.83167 · doi:10.1007/JHEP02(2022)090 |
| [31] | Suzuki, R., Black hole interactions at large D: brane blobology, JHEP, 02, 131 (2021) · Zbl 1460.83054 · doi:10.1007/JHEP02(2021)131 |
| [32] | Licht, D.; Luna, R.; Suzuki, R., Black Ripples, Flowers and Dumbbells at large D, JHEP, 04, 108 (2020) · Zbl 1436.83015 · doi:10.1007/JHEP04(2020)108 |
| [33] | Rozali, M.; Sabag, E.; Yarom, A., Holographic Turbulence in a Large Number of Dimensions, JHEP, 04, 065 (2018) · Zbl 1390.81540 · doi:10.1007/JHEP04(2018)065 |
| [34] | Emparan, R.; Figueras, P.; Martinez, M., Bumpy black holes, JHEP, 12, 072 (2014) · Zbl 1333.83074 · doi:10.1007/JHEP12(2014)072 |
| [35] | Brown, JD; York, JW Jr, Quasilocal energy and conserved charges derived from the gravitational action, Phys. Rev. D, 47, 1407 (1993) · doi:10.1103/PhysRevD.47.1407 |
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