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Breaking away from the near horizon of extreme Kerr

by Alejandra Castro, Victor Godet

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Submission summary

Authors (as registered SciPost users): Alejandra Castro · Victor Godet
Submission information
Preprint Link:  (pdf)
Date accepted: 2020-05-29
Date submitted: 2020-05-23 02:00
Submitted by: Castro, Alejandra
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We study gravitational perturbations around the near horizon geometry of the (near) extreme Kerr black hole. By considering a consistent truncation for the metric fluctuations, we obtain a solution to the linearized Einstein equations. The dynamics is governed by two master fields which, in the context of the nAdS$_2$/nCFT$_1$ correspondence, are both irrelevant operators of conformal dimension $\Delta=2$. These fields control the departure from extremality by breaking the conformal symmetry of the near horizon region. One of the master fields is tied to large diffeomorphisms of the near horizon, with its equations of motion compatible with a Schwarzian effective action. The other field is essential for a consistent description of the geometry away from the horizon.

Published as SciPost Phys. 8, 089 (2020)

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