Quasinormal Modes and Love Numbers of Kerr Black Holes from AdS${}_2$ Black Holes

Abstract

We show that the linear perturbations of any spin field in the near-zone limit of the Kerr black hole are identical to those of an AdS${}_2$ black hole which enjoys the same basic properties of the Kerr black hole. Thanks to this identification, we calculate the spectrum of the quasinormal modes and the Love numbers of Kerr black holes using an AdS${}_2$/CFT${}_1$ correspondence and a group theoretical approach.

15 pages, LaTex file

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Cited by in corpus (8)

• Non-linearities in the tidal Love numbers of black holes
• Implications of the Weak Gravity Conjecture for Tidal Love Numbers of Black Holes
• Black hole perturbation theory and multiple polylogarithms
• Ladder Symmetries of Black Holes and de Sitter Space: Love Numbers and Quasinormal Modes
• Explaining Nonlinearities in Black Hole Ringdowns from Symmetries
• Interplay between Black Holes and Ultralight Dark Matter: Analytic Solutions
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Extremal Love: tidal/electromagnetic deformability, logarithmic running and the weak gravity conjecture