PIRSA:21060015

Pseudospectrum and black hole quasi-normal mode (in)stability

Panosso Macedo, R. (2021). Pseudospectrum and black hole quasi-normal mode (in)stability. Perimeter Institute. https://pirsa.org/21060015

Panosso Macedo, Rodrigo. Pseudospectrum and black hole quasi-normal mode (in)stability. Perimeter Institute, Jun. 07, 2021, https://pirsa.org/21060015 

          @misc{ pirsa_PIRSA:21060015,
            doi = {10.48660/21060015},
            url = {https://pirsa.org/21060015},
            author = {Panosso Macedo, Rodrigo},
            keywords = {Other},
            language = {en},
            title = {Pseudospectrum and black hole quasi-normal mode (in)stability},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060015 see, \url{https://pirsa.org}}
          }

Rodrigo Panosso Macedo Queen Mary University of London

DOI 10.48660/21060015
Collection
Talk Type Conference
Subject

Abstract

We study the stability of quasi-normal modes (QNM) in asymptotically flat black hole spacetimes by means of a pseudospectrum analysis. The construction of the Schwarzschild QNM pseudospectrum reveals: i) the stability of the slowest decaying QNM under perturbations respecting the asymptotic structure, reassessing the instability of the fundamental QNM discussed by Nollert (1996); ii) the instability of all overtones under small scale perturbations of sufficiently high frequency, that migrate to a universal class of QNM branches along pseudospectra boundaries, shedding light on Nollert & Price's analysis (1996).