Non-modal effects in black hole perturbation theory: transient superradiance
Abstract We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of linear perturbations. In the example presented, the physical mechanism is a transient form of superradiance, and is...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)179 |
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| author | Javier Carballo Christiana Pantelidou Benjamin Withers |
| author_facet | Javier Carballo Christiana Pantelidou Benjamin Withers |
| author_sort | Javier Carballo |
| collection | DOAJ |
| description | Abstract We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of linear perturbations. In the example presented, the physical mechanism is a transient form of superradiance, and is qualitatively similar to the transition to turbulence in Navier-Stokes shear flows. As part of the construction we provide a theorem for the positivity of QNM energies, and introduce a truncated-Hamiltonian approach to black hole pseudospectra which does not suffer from convergence issues. |
| format | Article |
| id | doaj-art-70c94f1b8bc84a69927ba55a759a02ed |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-70c94f1b8bc84a69927ba55a759a02ed2025-08-24T11:04:50ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025812810.1007/JHEP08(2025)179Non-modal effects in black hole perturbation theory: transient superradianceJavier Carballo0Christiana Pantelidou1Benjamin Withers2Mathematical Sciences and STAG Research Centre, University of SouthamptonSchool of Mathematics and Statistics, University College DublinMathematical Sciences and STAG Research Centre, University of SouthamptonAbstract We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of linear perturbations. In the example presented, the physical mechanism is a transient form of superradiance, and is qualitatively similar to the transition to turbulence in Navier-Stokes shear flows. As part of the construction we provide a theorem for the positivity of QNM energies, and introduce a truncated-Hamiltonian approach to black hole pseudospectra which does not suffer from convergence issues.https://doi.org/10.1007/JHEP08(2025)179Black HolesGauge-Gravity CorrespondenceHolography and Hydrodynamics |
| spellingShingle | Javier Carballo Christiana Pantelidou Benjamin Withers Non-modal effects in black hole perturbation theory: transient superradiance Journal of High Energy Physics Black Holes Gauge-Gravity Correspondence Holography and Hydrodynamics |
| title | Non-modal effects in black hole perturbation theory: transient superradiance |
| title_full | Non-modal effects in black hole perturbation theory: transient superradiance |
| title_fullStr | Non-modal effects in black hole perturbation theory: transient superradiance |
| title_full_unstemmed | Non-modal effects in black hole perturbation theory: transient superradiance |
| title_short | Non-modal effects in black hole perturbation theory: transient superradiance |
| title_sort | non modal effects in black hole perturbation theory transient superradiance |
| topic | Black Holes Gauge-Gravity Correspondence Holography and Hydrodynamics |
| url | https://doi.org/10.1007/JHEP08(2025)179 |
| work_keys_str_mv | AT javiercarballo nonmodaleffectsinblackholeperturbationtheorytransientsuperradiance AT christianapantelidou nonmodaleffectsinblackholeperturbationtheorytransientsuperradiance AT benjaminwithers nonmodaleffectsinblackholeperturbationtheorytransientsuperradiance |