Lectures on Linear Stability of Rotating Black Holes

@article{Finster2019LecturesOL,
  title={Lectures on Linear Stability of Rotating Black Holes},
  author={Felix Finster},
  journal={Einstein Equations: Physical and Mathematical Aspects of General Relativity},
  year={2019}
}
  • F. Finster
  • Published 16 May 2018
  • Mathematics
  • Einstein Equations: Physical and Mathematical Aspects of General Relativity
These lecture notes are concerned with linear stability of the non-extreme Kerr geometry under perturbations of general spin. After a brief review of the Kerr black hole and its symmetries, we describe these symmetries by Killing fields and work out the connection to conservation laws. The Penrose process and superradiance effects are discussed. Decay results on the long-time behavior of Dirac waves are outlined. It is explained schematically how the Maxwell equations and the equations for… 

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