Breaking away from the near horizon of extreme Kerr - INSPIRE

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Breaking away from the near horizon of extreme Kerr

Alejandra Castro
(
- Amsterdam U.
)
,
Victor Godet
(
- Amsterdam U.
)

Jun 21, 2019

16 pages

Published in:

SciPost Phys. 8 (2020) 6, 089

Published: Jun 17, 2020

e-Print:

1906.09083 [hep-th]

DOI:

10.21468/SciPostPhys.8.6.089 (publication)

View in:

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Abstract: (arXiv)

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.

Note:

v2: typo fixed and reference added; v3: expanded appendix with on-shell action

horizon: geometry
Einstein equation: linear
perturbation: gravitation
dimension: conformal
metric: fluctuation
operator: conformal
symmetry: conformal
black hole: Kerr
effective action
field equations

References(52)

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