Pseudospectrum and time-domain analysis of the EFT corrected black holes
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912750584725504 |
|---|---|
| author | Cao, Li-Ming Ji, Ming-Fei Wu, Liang-Bi Zhou, Yu-Sen |
| author_facet | Cao, Li-Ming Ji, Ming-Fei Wu, Liang-Bi Zhou, Yu-Sen |
| contents | We study the linear perturbations of a spherically symmetric black hole corrected by dimension-6 terms in the effective field theory (EFT) of gravity. The solution is asymptotically flat and characterized by two parameters -- a mass parameter $M$ and a dimensionless parameter $\varepsilon$ related to the EFT length scale $l$, and the perturbation equation incorporates a velocity factor which is not constant. The quasinormal modes (QNMs) and time-domain waveforms are studied within the hyperboloidal framework. This approach reproduces the breakdown of the isospectrality and reveals that higher overtones are more sensitive to $\varepsilon$. As for the time domain, the mismatch function is introduced and found to scale as $\varepsilon^2$, which demonstrates that the waveform is stable as $\varepsilon$ varies. Finally, a velocity-dependent energy norm is employed to compute the pseudospectrum and characterize the migration of the QNM spectrum. We further define a quantity $ε_c$ that describes the magnitude of the instability of a QNM spectrum. Our analysis reveals that the dependence of $ε_c$ on $\varepsilon$ is complicated -- it may increase, decrease or even be nonmonotonic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13894 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudospectrum and time-domain analysis of the EFT corrected black holes Cao, Li-Ming Ji, Ming-Fei Wu, Liang-Bi Zhou, Yu-Sen General Relativity and Quantum Cosmology We study the linear perturbations of a spherically symmetric black hole corrected by dimension-6 terms in the effective field theory (EFT) of gravity. The solution is asymptotically flat and characterized by two parameters -- a mass parameter $M$ and a dimensionless parameter $\varepsilon$ related to the EFT length scale $l$, and the perturbation equation incorporates a velocity factor which is not constant. The quasinormal modes (QNMs) and time-domain waveforms are studied within the hyperboloidal framework. This approach reproduces the breakdown of the isospectrality and reveals that higher overtones are more sensitive to $\varepsilon$. As for the time domain, the mismatch function is introduced and found to scale as $\varepsilon^2$, which demonstrates that the waveform is stable as $\varepsilon$ varies. Finally, a velocity-dependent energy norm is employed to compute the pseudospectrum and characterize the migration of the QNM spectrum. We further define a quantity $ε_c$ that describes the magnitude of the instability of a QNM spectrum. Our analysis reveals that the dependence of $ε_c$ on $\varepsilon$ is complicated -- it may increase, decrease or even be nonmonotonic. |
| title | Pseudospectrum and time-domain analysis of the EFT corrected black holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.13894 |