Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasi- normal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision tests of general relativity. We extend the pseu- dospectrum analysis to horizonless exotic compact objects which possess a reflective surface arbi- trarily close to the Schwarzschild radius, and find that their quasinormal modes also suffer from an overall spectral instability. Even though all the modes themselves decay monotonically, the pseudospectrum contours of equal resonance magnitude around the fundamental mode and the low- est overtones can cross the real axis into the unstable regime of the complex plane, unveiling the existence of nonmodal pseudo-resonances. A pseudospectrum analysis further predicts that fluctua- tions to the system may destabilize the object when next to leading-order effects are considered, as the triggering of pseudo-resonant growth can break the order-expansion of black-hole perturbation theory.
Boyanov, Valentin
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Destounis, Kyriakos
eb97724c-04ff-4677-9d0a-5bb368890129
Panosso Macedo, Rodrigo
8f176eb4-ca20-492b-a41e-e78d47d6fefe
Cardoso, Vitor
51e98674-a117-44d5-abea-4bbfb16aa9c8
Jaramillo, José Luis
017c7391-fa75-4f36-bef4-61f55906378c
15 March 2023
Boyanov, Valentin
02563650-31ba-4eca-a46f-caa054c821c0
Destounis, Kyriakos
eb97724c-04ff-4677-9d0a-5bb368890129
Panosso Macedo, Rodrigo
8f176eb4-ca20-492b-a41e-e78d47d6fefe
Cardoso, Vitor
51e98674-a117-44d5-abea-4bbfb16aa9c8
Jaramillo, José Luis
017c7391-fa75-4f36-bef4-61f55906378c
Boyanov, Valentin, Destounis, Kyriakos, Panosso Macedo, Rodrigo, Cardoso, Vitor and Jaramillo, José Luis
(2023)
Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism.
Physical Review D, 107 (6), [064012].
(doi:10.48550/arXiv.2209.12950).
Abstract
Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasi- normal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision tests of general relativity. We extend the pseu- dospectrum analysis to horizonless exotic compact objects which possess a reflective surface arbi- trarily close to the Schwarzschild radius, and find that their quasinormal modes also suffer from an overall spectral instability. Even though all the modes themselves decay monotonically, the pseudospectrum contours of equal resonance magnitude around the fundamental mode and the low- est overtones can cross the real axis into the unstable regime of the complex plane, unveiling the existence of nonmodal pseudo-resonances. A pseudospectrum analysis further predicts that fluctua- tions to the system may destabilize the object when next to leading-order effects are considered, as the triggering of pseudo-resonant growth can break the order-expansion of black-hole perturbation theory.
Text
2209.12950
- Author's Original
More information
Accepted/In Press date: 16 February 2023
e-pub ahead of print date: 7 March 2023
Published date: 15 March 2023
Identifiers
Local EPrints ID: 475416
URI: http://eprints.soton.ac.uk/id/eprint/475416
ISSN: 2470-0010
PURE UUID: 7badd511-af5c-406a-8356-81dd38743280
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Date deposited: 17 Mar 2023 17:36
Last modified: 17 Mar 2024 04:09
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Contributors
Author:
Valentin Boyanov
Author:
Kyriakos Destounis
Author:
Vitor Cardoso
Author:
José Luis Jaramillo
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