Non-modal effects in black hole perturbation theory: Transient Superradiance
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918133858566144 |
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| author | Carballo, Javier Pantelidou, Christiana Withers, Benjamin |
| author_facet | Carballo, Javier Pantelidou, Christiana Withers, Benjamin |
| contents | 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 | Preprint |
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arxiv_https___arxiv_org_abs_2503_05871 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-modal effects in black hole perturbation theory: Transient Superradiance Carballo, Javier Pantelidou, Christiana Withers, Benjamin General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 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. |
| title | Non-modal effects in black hole perturbation theory: Transient Superradiance |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2503.05871 |