PIRSA:21060015 Conference Other

DOI10.48660/21060015

Conference/School: The 24th Capra meeting on Radiation Reaction in General Relativity

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}}
}

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).

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