تقرير
Transient dynamics of quasinormal mode sums
| العنوان: | Transient dynamics of quasinormal mode sums |
|---|---|
| المؤلفون: | Carballo, Javier, Withers, Benjamin |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter General Relativity and Quantum Cosmology High Energy Physics - Theory Nuclear Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, General Relativity and Quantum Cosmology, Nuclear Theory |
| الوصف: | Quasinormal modes of spacetimes with event horizons are typically governed by a non-normal operator. This gives rise to spectral instabilities, a topic of recent interest in the black hole pseudospectrum programme. In this work we show that non-normality leads to the existence of arbitrarily long-lived sums of short-lived quasinormal modes, corresponding to localising packets of energy near the future horizon. There exist sums of $M$ quasinormal modes whose lifetimes scale as $\log{M}$. This transient behaviour results from large cancellations between non-orthogonal quasinormal modes. We provide simple closed-form examples for a massive scalar field in the static patch of dS$_{d+1}$ and the BTZ black hole. We also provide numerical examples for scalar perturbations of Schwarzschild-AdS$_{d+1}$, and gravitational perturbations of Schwarzschild in asymptotically flat spacetime, using hyperboloidal foliations. The existence of these perturbations is linked to certain properties of black hole pseudospectra. We comment on implications for thermalisation times in holographic plasmas. Comment: 41 pages, 12 figures. Added some comments and references |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.06685 |
| رقم الأكسشن: | edsarx.2406.06685 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |