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The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes

  • Mark, Zachary
  • Yang, Huan
  • Zimmerman, Aaron
  • Chen, Yanbei
Published Article
Publication Date
Sep 19, 2014
Submission Date
Sep 19, 2014
DOI: 10.1103/PhysRevD.91.044025
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The resonant mode spectrum of the Kerr-Newman spacetime is presently unknown. These modes, called the quasinormal modes, play a central role in determining the stability of Kerr-Newman black holes and their response to perturbations. We present a new formalism, generalized from time-independent perturbation theory in quantum mechanics, for calculating the quasinormal mode frequencies of weakly charged Kerr-Newman spacetimes of arbitrary spin. Our method makes use of an original technique for applying perturbation theory to zeroth-order solutions that are not square- integrable, and it can be applied to other problems in theoretical physics. The new formalism reveals no unstable modes, which together with previous results in the slow-rotation limit strongly indicates the modal stability of the Kerr-Newman spacetime. Our techniques and results are of interest in the areas of holographic duality, foundational problems in General Relativity, and possibly in astrophysical systems.

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