Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability
Abstract Kerr-AdS d+1 black holes for d ≥ 3 suffer from classical superradiant instabilities over a range of masses above extremality. We conjecture that these instabilities settle down into Grey Galaxies (GGs) — a new class of coarse-grained solutions to Einstein’s equations which we construct in d...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2023)024 |
| _version_ | 1827277388444073984 |
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| author | Seok Kim Suman Kundu Eunwoo Lee Jaeha Lee Shiraz Minwalla Chintan Patel |
| author_facet | Seok Kim Suman Kundu Eunwoo Lee Jaeha Lee Shiraz Minwalla Chintan Patel |
| author_sort | Seok Kim |
| collection | DOAJ |
| description | Abstract Kerr-AdS d+1 black holes for d ≥ 3 suffer from classical superradiant instabilities over a range of masses above extremality. We conjecture that these instabilities settle down into Grey Galaxies (GGs) — a new class of coarse-grained solutions to Einstein’s equations which we construct in d = 3. Grey Galaxies are made up of a black hole with critical angular velocity ω = 1 in the ‘centre’ of AdS, surrounded by a large flat disk of thermal bulk gas that revolves around the centre of AdS at the speed of light. The gas carries a finite fraction of the total energy, as its parametrically low energy density and large radius are inversely related. GGs exist at masses that extend all the way down to the unitarity bound. Their thermodynamics is that of a weakly interacting mix of Kerr-AdS black holes and the bulk gas. Their boundary stress tensor is the sum of a smooth ‘black hole’ contribution and a peaked gas contribution that is delta function localized around the equator of the boundary sphere in the large N limit. We also construct another class of solutions with the same charges; ‘Revolving Black Holes (RBHs)’. RBHs are macroscopically charged SO(d, 2) descendants of AdS-Kerr solutions, and consist of ω = 1 black holes revolving around the centre of AdS at a fixed radial location but in a quantum wave function in the angular directions. RBH solutions are marginally entropically subdominant to GG solutions and do not constitute the endpoint of the superradiant instability. Nonetheless, we argue that supersymmetric versions of these solutions have interesting implications for the spectrum of supersymmetric states in, e.g. N $$ \mathcal{N} $$ = 4 Yang-Mills theory. |
| first_indexed | 2024-03-11T11:08:57Z |
| format | Article |
| id | doaj.art-ed121dbb39764ad1a20feee1690a4b96 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:15Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ed121dbb39764ad1a20feee1690a4b962024-04-21T11:06:12ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-01202311110610.1007/JHEP11(2023)024Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instabilitySeok Kim0Suman Kundu1Eunwoo Lee2Jaeha Lee3Shiraz Minwalla4Chintan Patel5Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityDepartment of Particle Physics and Astrophysics, The Weizmann Institute of ScienceDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityWalter Burke Institute for Theoretical Physics, California Institute of TechnologyDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract Kerr-AdS d+1 black holes for d ≥ 3 suffer from classical superradiant instabilities over a range of masses above extremality. We conjecture that these instabilities settle down into Grey Galaxies (GGs) — a new class of coarse-grained solutions to Einstein’s equations which we construct in d = 3. Grey Galaxies are made up of a black hole with critical angular velocity ω = 1 in the ‘centre’ of AdS, surrounded by a large flat disk of thermal bulk gas that revolves around the centre of AdS at the speed of light. The gas carries a finite fraction of the total energy, as its parametrically low energy density and large radius are inversely related. GGs exist at masses that extend all the way down to the unitarity bound. Their thermodynamics is that of a weakly interacting mix of Kerr-AdS black holes and the bulk gas. Their boundary stress tensor is the sum of a smooth ‘black hole’ contribution and a peaked gas contribution that is delta function localized around the equator of the boundary sphere in the large N limit. We also construct another class of solutions with the same charges; ‘Revolving Black Holes (RBHs)’. RBHs are macroscopically charged SO(d, 2) descendants of AdS-Kerr solutions, and consist of ω = 1 black holes revolving around the centre of AdS at a fixed radial location but in a quantum wave function in the angular directions. RBH solutions are marginally entropically subdominant to GG solutions and do not constitute the endpoint of the superradiant instability. Nonetheless, we argue that supersymmetric versions of these solutions have interesting implications for the spectrum of supersymmetric states in, e.g. N $$ \mathcal{N} $$ = 4 Yang-Mills theory.https://doi.org/10.1007/JHEP11(2023)024AdS-CFT CorrespondenceBlack HolesThermal Field TheoryClassical Theories of Gravity |
| spellingShingle | Seok Kim Suman Kundu Eunwoo Lee Jaeha Lee Shiraz Minwalla Chintan Patel Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability Journal of High Energy Physics AdS-CFT Correspondence Black Holes Thermal Field Theory Classical Theories of Gravity |
| title | Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability |
| title_full | Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability |
| title_fullStr | Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability |
| title_full_unstemmed | Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability |
| title_short | Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability |
| title_sort | grey galaxies as an endpoint of the kerr ads superradiant instability |
| topic | AdS-CFT Correspondence Black Holes Thermal Field Theory Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP11(2023)024 |
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