2-charge circular fuzz-balls and their perturbations
Abstract We perform a detailed study of perturbations around 2-charge circular fuzz-balls and compare the results with the ones obtained in the case of ‘small’ BHs. In addition to the photon-sphere modes that govern the prompt ring-down, we also find a branch of long-lived QNMs localised inside the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)217 |
| _version_ | 1797647411827441664 |
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| author | Massimo Bianchi Giorgio Di Russo |
| author_facet | Massimo Bianchi Giorgio Di Russo |
| author_sort | Massimo Bianchi |
| collection | DOAJ |
| description | Abstract We perform a detailed study of perturbations around 2-charge circular fuzz-balls and compare the results with the ones obtained in the case of ‘small’ BHs. In addition to the photon-sphere modes that govern the prompt ring-down, we also find a branch of long-lived QNMs localised inside the photon-sphere at the (meta)stable minimum of the radial effective potential. The latter are expected to dominate late time signals in the form of ‘echoes’. Moreover, contrary to ‘small’ BHs, some ‘static’ tidal Love numbers are non-zero and independent of the mass, charges and angular momentum of the fuzz-ball. We rely on the recently established connection between BH or fuzz-ball perturbation theory and quantum Seiberg-Witten curves for N $$ \mathcal{N} $$ = 2 SYM theories, which in turn are related to Liouville CFT via the AGT correspondence. We test our results against numerical results obtained with Leaver’s method of continuous fractions or Breit-Wigner resonance method for direct integration and with the WKB approximation based on geodesic motion. In the probe approximation, we also exclude rotational super-radiance, due to the absence of an ergo-region, and absorption, due to the absence of a horizon. |
| first_indexed | 2024-03-11T15:16:56Z |
| format | Article |
| id | doaj.art-87470c72cb244cf5802e04c218b5818e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:56Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-87470c72cb244cf5802e04c218b5818e2023-10-29T12:11:44ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023815010.1007/JHEP08(2023)2172-charge circular fuzz-balls and their perturbationsMassimo Bianchi0Giorgio Di Russo1Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Abstract We perform a detailed study of perturbations around 2-charge circular fuzz-balls and compare the results with the ones obtained in the case of ‘small’ BHs. In addition to the photon-sphere modes that govern the prompt ring-down, we also find a branch of long-lived QNMs localised inside the photon-sphere at the (meta)stable minimum of the radial effective potential. The latter are expected to dominate late time signals in the form of ‘echoes’. Moreover, contrary to ‘small’ BHs, some ‘static’ tidal Love numbers are non-zero and independent of the mass, charges and angular momentum of the fuzz-ball. We rely on the recently established connection between BH or fuzz-ball perturbation theory and quantum Seiberg-Witten curves for N $$ \mathcal{N} $$ = 2 SYM theories, which in turn are related to Liouville CFT via the AGT correspondence. We test our results against numerical results obtained with Leaver’s method of continuous fractions or Breit-Wigner resonance method for direct integration and with the WKB approximation based on geodesic motion. In the probe approximation, we also exclude rotational super-radiance, due to the absence of an ergo-region, and absorption, due to the absence of a horizon.https://doi.org/10.1007/JHEP08(2023)217Black HolesBlack Holes in String TheoryD-BranesString and Brane Phenomenology |
| spellingShingle | Massimo Bianchi Giorgio Di Russo 2-charge circular fuzz-balls and their perturbations Journal of High Energy Physics Black Holes Black Holes in String Theory D-Branes String and Brane Phenomenology |
| title | 2-charge circular fuzz-balls and their perturbations |
| title_full | 2-charge circular fuzz-balls and their perturbations |
| title_fullStr | 2-charge circular fuzz-balls and their perturbations |
| title_full_unstemmed | 2-charge circular fuzz-balls and their perturbations |
| title_short | 2-charge circular fuzz-balls and their perturbations |
| title_sort | 2 charge circular fuzz balls and their perturbations |
| topic | Black Holes Black Holes in String Theory D-Branes String and Brane Phenomenology |
| url | https://doi.org/10.1007/JHEP08(2023)217 |
| work_keys_str_mv | AT massimobianchi 2chargecircularfuzzballsandtheirperturbations AT giorgiodirusso 2chargecircularfuzzballsandtheirperturbations |