Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories

Summary

This study uses the connection formula for ordinary differential equations with 5 and 6 regular singularities to compute quasinormal modes of charged de Sitter blackholes from quiver gauge theories.

Highlights

• The connection formula for ODEs with 5 and 6 regular singularities is generalized.
• Quasinormal modes of Reissner-Nordström de Sitter blackholes are computed using the connection formula.
• Analytic expressions for photon-sphere modes, dS modes, and near-extremal modes are obtained.
• The connection formula is tested against numerical results from the QNMspectral package.
• The method is also applied to non-scalar perturbations in RN-dS blackholes.
• The dS-Kerr-Newman blackhole and 6-pt BPZ equation are discussed in appendices.
• The study provides a new approach to computing quasinormal modes using gauge theories.

Key Insights

• The connection formula provides a systematic way to write down the connection coefficients for ODEs with regular singularities, which can be used to compute quasinormal modes of blackholes.
• The analytic expressions for quasinormal modes obtained from the connection formula match well with numerical results, especially for small Q/M and large ΛM2.
• The connection formula approach can be used to study quasinormal modes of blackholes with different charges and rotations, providing a new tool for understanding blackhole physics.
• The study demonstrates the power of gauge theories in computing quasinormal modes of blackholes, which can be used to study the AdS/CFT correspondence and the holographic principle.
• The connection formula can be used to study the strong cosmic censorship problem in de Sitter blackholes, which is an important problem in theoretical physics.
• The study provides a new approach to computing quasinormal modes using gauge theories, which can be used to study the properties of blackholes and the behavior of matter in extreme environments.
• The connection formula can be used to study the perturbations of blackholes with different charges and rotations, providing a new tool for understanding blackhole physics.

Mindmap

Citation

Liu, P., & Zhu, R.-D. (2024). Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.18359