Probing the Unstable Spectrum of Schwarzschild-Like Black Holes

Explore the stability properties of quasinormal modes in black hole physics through this 19-minute conference lecture that investigates the pseudospectrum of Schwarzschild-like black holes. Examine how physically motivated deformations using the Rezzolla-Zhidenko parametrization affect the quasinormal spectrum stability, contrasting with previous findings on random perturbations. Learn about the counterintuitive discovery that while random perturbations may stabilize quasinormal mode spectra, physically motivated deformations through the RZ parametrization demonstrate inherent instability in the quasinormal spectrum. Analyze the computational methods used to investigate pseudospectra and understand how these results challenge conventional expectations about wave operator stability in black hole contexts. Discover the complexities involved in identifying instability sources when multiple perturbation mechanisms are present, and gain insights into the broader implications for black hole stability analysis in theoretical physics.