Black ripples, flowers and dumbbells at large \(D\). (English) Zbl 1436.83015
Summary: We explore the rich phase space of singly spinning (both neutral and charged) black hole solutions in the large \(D\) limit. We find several ‘bumpy’ branches which are connected to multiple (concentric) black rings, and black Saturns. Additionally, we obtain stationary solutions without axisymmetry that are only stationary at \(D \rightarrow \infty\), but correspond to long-lived black hole solutions at finite \(D\). These multipolar solutions can appear as intermediate configurations in the decay of ultra-spinning Myers-Perry black holes into stable black holes. Finally, we also construct stationary solutions corresponding to the instability of such a multipolar solution.
MSC:
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 83E30 | String and superstring theories in gravitational theory |
| 83C57 | Black holes |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
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] | Emparan, R.; Reall, HS, Black holes in higher dimensions, Living Rev. Rel., 11, 6 (2008) · Zbl 1166.83002 · doi:10.12942/lrr-2008-6 |
| [4] | Emparan, R., The phase structure of higher-dimensional black rings and black holes, JHEP, 10, 110 (2007) · doi:10.1088/1126-6708/2007/10/110 |
| [5] | Asnin, V., 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 |
| [6] | 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 |
| [7] | Emparan, R.; Tanabe, K., Universal quasinormal modes of large D black holes, Phys. Rev., D 89 (2014) |
| [8] | Emparan, R.; Suzuki, R.; Tanabe, K., Decoupling and non-decoupling dynamics of large D black holes, JHEP, 07, 113 (2014) · Zbl 1390.83194 · doi:10.1007/JHEP07(2014)113 |
| [9] | Emparan, R.; Suzuki, R.; Tanabe, K., Quasinormal modes of (Anti-)de Sitter black holes in the 1/D expansion, JHEP, 04, 085 (2015) · Zbl 1390.83195 · doi:10.1007/JHEP04(2015)085 |
| [10] | Emparan, R.; Suzuki, R.; Tanabe, K., Instability of rotating black holes: large D analysis, JHEP, 06, 106 (2014) · Zbl 1333.83075 · doi:10.1007/JHEP06(2014)106 |
| [11] | Suzuki, R.; Tanabe, K., Stationary black holes: large D analysis, JHEP, 09, 193 (2015) · Zbl 1388.83502 · doi:10.1007/JHEP09(2015)193 |
| [12] | 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 |
| [13] | Emparan, R., Effective theory of black holes in the 1/D expansion, JHEP, 06, 159 (2015) · Zbl 1388.83432 · doi:10.1007/JHEP06(2015)159 |
| [14] | 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 |
| [15] | Tanabe, K., Black rings at large D, JHEP, 02, 151 (2016) · Zbl 1388.83504 · doi:10.1007/JHEP02(2016)151 |
| [16] | Tanabe, K., Instability of the de Sitter Reissner-Nordstrom black hole in the 1/D expansion, Class. Quant. Grav., 33, 125016 (2016) · Zbl 1342.83210 · doi:10.1088/0264-9381/33/12/125016 |
| [17] | K. Tanabe, Charged rotating black holes at large D, arXiv:1605.08854 [INSPIRE]. · Zbl 1388.83504 |
| [18] | Emparan, R., Hydro-elastic complementarity in black branes at large D, JHEP, 06, 117 (2016) · doi:10.1007/JHEP06(2016)117 |
| [19] | Chen, B.; Li, P-C; Wang, Z-z, Charged black rings at large D, JHEP, 04, 167 (2017) · Zbl 1378.83033 |
| [20] | Mandlik, M.; Thakur, S., Stationary solutions from the large D membrane paradigm, JHEP, 11, 026 (2018) · Zbl 1404.83060 · doi:10.1007/JHEP11(2018)026 |
| [21] | Emparan, R., Phases and stability of non-uniform black strings, JHEP, 05, 104 (2018) · Zbl 1391.83057 · doi:10.1007/JHEP05(2018)104 |
| [22] | Iizuka, N.; Ishibashi, A.; Maeda, K., Cosmic censorship at large D: stability analysis in polarized AdS black branes (holes), JHEP, 03, 177 (2018) · Zbl 1388.83545 · doi:10.1007/JHEP03(2018)177 |
| [23] | Andrade, T.; Pantelidou, C.; Withers, B., Large D holography with metric deformations, JHEP, 09, 138 (2018) · Zbl 1398.81197 · doi:10.1007/JHEP09(2018)138 |
| [24] | Li, P-C; Zhang, C-Y; Chen, B., The fate of instability of de Sitter black holes at large D, JHEP, 11, 042 (2019) · Zbl 1429.83041 · doi:10.1007/JHEP11(2019)042 |
| [25] | Casalderrey-Solana, J.; Herzog, CP; Meiring, B., Holographic Bjorken flow at large-D, JHEP, 01, 181 (2019) · Zbl 1409.83008 · doi:10.1007/JHEP01(2019)181 |
| [26] | Guo, M.; Li, P-C; Chen, B., Photon emission near Myers-Perry black holes in the large dimension limit, Phys. Rev., D 101 (2020) |
| [27] | 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 |
| [28] | Andrade, T.; Emparan, R.; Licht, D.; Luna, R., Black hole collisions, instabilities and cosmic censorship violation at large D, JHEP, 09, 099 (2019) · Zbl 1423.83039 · doi:10.1007/JHEP09(2019)099 |
| [29] | Andrade, T.; Emparan, R.; Licht, D., Charged rotating black holes in higher dimensions, JHEP, 02, 076 (2019) · Zbl 1411.83035 · doi:10.1007/JHEP02(2019)076 |
| [30] | 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 |
| [31] | Emparan, R.; Grumiller, D.; Tanabe, K., Large-D gravity and low-D strings, Phys. Rev. Lett., 110, 251102 (2013) · doi:10.1103/PhysRevLett.110.251102 |
| [32] | Bhattacharyya, S.; De, A.; Minwalla, S.; Mohan, R.; Saha, A., A membrane paradigm at large D, JHEP, 04, 076 (2016) · Zbl 1388.83007 |
| [33] | Bhattacharyya, S.; Mandlik, M.; Minwalla, S.; Thakur, S., A charged membrane paradigm at large D, JHEP, 04, 128 (2016) · Zbl 1388.83389 |
| [34] | Emparan, R.; Myers, RC, Instability of ultra-spinning black holes, JHEP, 09, 025 (2003) · doi:10.1088/1126-6708/2003/09/025 |
| [35] | Dias, OJC, Instability and new phases of higher-dimensional rotating black holes, Phys. Rev., D 80, 111701 (2009) |
| [36] | Dias, OJC; Figueras, P.; Monteiro, R.; Reall, HS; Santos, JE, An instability of higher-dimensional rotating black holes, JHEP, 05, 076 (2010) · Zbl 1287.83031 · doi:10.1007/JHEP05(2010)076 |
| [37] | Dias, OJC; Figueras, P.; Monteiro, R.; Santos, JE, Ultraspinning instability of rotating black holes, Phys. Rev., D 82, 104025 (2010) |
| [38] | Dias, OJC; Monteiro, R.; Santos, JE, Ultraspinning instability: the missing link, JHEP, 08, 139 (2011) · Zbl 1298.83076 · doi:10.1007/JHEP08(2011)139 |
| [39] | Hartnett, GS; Santos, JE, Non-axisymmetric instability of rotating black holes in higher dimensions, Phys. Rev., D 88 (2013) |
| [40] | Emparan, R.; Figueras, P.; Martinez, M., Bumpy black holes, JHEP, 12, 072 (2014) · Zbl 1333.83074 · doi:10.1007/JHEP12(2014)072 |
| [41] | Dias, ÓJC; Santos, JE; Way, B., Rings, ripples and rotation: connecting black holes to black rings, JHEP, 07, 045 (2014) · doi:10.1007/JHEP07(2014)045 |
| [42] | Figueras, P.; Kunesch, M.; Lehner, L.; Tunyasuvunakool, S., End point of the ultraspinning instability and violation of cosmic censorship, Phys. Rev. Lett., 118, 151103 (2017) · doi:10.1103/PhysRevLett.118.151103 |
| [43] | Andrade, T.; Emparan, R.; Licht, D.; Luna, R., Cosmic censorship violation in black hole collisions in higher dimensions, JHEP, 04, 121 (2019) · Zbl 1415.83033 · doi:10.1007/JHEP04(2019)121 |
| [44] | Shibata, M.; Yoshino, H., Nonaxisymmetric instability of rapidly rotating black hole in five dimensions, Phys. Rev., D 81 (2010) |
| [45] | Shibata, M.; Yoshino, H., Bar-mode instability of rapidly spinning black hole in higher dimensions: numerical simulation in general relativity, Phys. Rev., D 81, 104035 (2010) |
| [46] | Bantilan, H.; Figueras, P.; Kunesch, M.; Panosso Macedo, R., End point of nonaxisymmetric black hole instabilities in higher dimensions, Phys. Rev., D 100 (2019) |
| [47] | Watson, GN, A note on the polynomials of Hermite and Laguerre, J. London Math. Soc., 13, 29 (1938) · Zbl 0018.21302 · doi:10.1112/jlms/s1-13.1.29 |
| [48] | Emparan, R.; Figueras, P., Multi-black rings and the phase diagram of higher-dimensional black holes, JHEP, 11, 022 (2010) · Zbl 1294.83047 · doi:10.1007/JHEP11(2010)022 |
| [49] | A. Erdélyi, Über einige bestimmte integrale, in denen die whittakerschen M_k,mfunktionen auftreten, Math. Zeitschr.40 (1936) 693. · Zbl 0013.06405 |
| [50] | Lee, PA; Ong, SH; Srivastava, HM, Some integrals of the products of laguerre polynomials, Int. J. Computer Math., 78, 303 (2000) · Zbl 1018.33009 |
| [51] | Arcioni, G.; Lozano-Tellechea, E., Stability and critical phenomena of black holes and black rings, Phys. Rev., D 72, 104021 (2005) |
| [52] | H. Elvang, R. Emparan and A. Virmani, Dynamics and stability of black rings, JHEP12 (2006) 074 [hep-th/0608076] [INSPIRE]. · Zbl 1226.83059 |
| [53] | Santos, JE; Way, B., Neutral black rings in five dimensions are unstable, Phys. Rev. Lett., 114, 221101 (2015) · doi:10.1103/PhysRevLett.114.221101 |
| [54] | 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 |
| [55] | P. Daskalopoulos, R. Hamilton and N. Šešum, Classification of compact ancient solutions to the ricci flow on surfaces, arXiv:0902.1158. · Zbl 1257.53095 |
| [56] | Parke, WC; Maximon, LC, Closed-form second solution to the confluent hypergeometric difference equation in the degenerate case, Int. J. Diff. Eq., 11, 203 (2016) |
| [57] | W.C. Parke and L.C. Maximon, On second solutions to second-order difference equations, arXiv:1601.04412. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
