Fluid-gravity duality, quasinormal modes in perturbed black hole metric and implications in gravitaional-wave detection

• Grant number: 24/06293-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 15, 2025
• End date: September 14, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Nuclear Physics
• Principal Investigator: Weiliang Qian
• Grantee: Weiliang Qian
• Visiting researcher: Chenggang Shao
• Visiting researcher institution: Huazhong University Of Science And Technology/Hust, China
• Host Institution: Escola de Engenharia de Lorena (EEL). Universidade de São Paulo (USP). Lorena , SP, Brazil
• Associated research grant: 21/06422-0 - The hydrodynamic model and its applications, AP.JP2

Abstract

Recent developments in the spectral instability of black hole quasinormal mode spectra are attributed mainly to a body of research initiated by Nollert and subsequently pursued by both proponents independently. From a theoretical standpoint, quasinormal mode spectra offer insights into the stability of a system against minor perturbations, while spectral instability entails a deeper analysis concerning the spectrum's resilience to small changes in the system's physical configuration.From an empiral perspective, on the other hand, the project presents immediate ramifications. Such a significant distortion in the quasinormal mode spectral leads to substantial observational implications.In particular, due to spectral instability, the asymptotic properties of high overtone modes of a black hole surrounded by matter diverges significantly from a black hole in vacuum.This divergence could profoundly influence the complex frequencies derived from waveforms, substantially altering the observed signal-to-noise ratio in the context of the on-going space-borne gravitational-wave detectors.This proposal seeks to extend this line of inquiry by integrating efforts from both parties. It is a vital complement to the existing research project (FAPESP JP2 no.2021/06422-0), mainly due to its relevance to the AdS/QCD correspondence and potential applications to hydrodynamic modes. We propose a project including lectures and collaborations to address these pertinent issues. (AU)