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Extreme Kerr black hole microstates with horizon fluff

K. Hajian
(
- IPM, Tehran
)
,
M.M. Sheikh-Jabbari
(
- IPM, Tehran
)
,
H. Yavartanoo
(
- Beijing, Inst. Theor. Phys.
)

Aug 21, 2017

8 pages

Published in:

Phys.Rev.D 98 (2018) 2, 026025

Published: Jul 24, 2018
and
Published: Jul 23, 2018

e-Print:

1708.06378 [hep-th]

DOI:

10.1103/PhysRevD.98.026025

View in:

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Abstract: (APS)

We present a one-function family of solutions to 4D vacuum Einstein equations. While all diffeomorphic to the same extremal Kerr black hole, they are labeled by well-defined conserved charges and are hence distinct geometries. We show that this family of solutions forms a phase space the symplectic structure of which is invariant under a U(1) Kac-Moody algebra generated by currents Jn and Virasoro generators Ln with central charge six times angular momentum of the black hole. This symmetry algebra is well-defined everywhere in the spacetime, near the horizon or in the asymptotic flat region. Out of the appropriate combination of Jn charges, we construct another Virasoro algebra at the same central charge. Requiring that these two Virasoro algebras should describe the same system leads us to a proposal for identifying extreme Kerr black hole microstates, dubbed as extreme Kerr fluff. Counting these microstates, we not only correctly reproduce the Bekenstein-Hawking entropy of extreme Kerr black hole, but also its expected logarithmic corrections.

Note:

6 pages

black hole: Kerr
algebra: Virasoro
black hole: angular momentum
black hole: entropy
algebra: Kac-Moody
symmetry: algebra
Einstein equation: vacuum
charge: conservation law
symmetry: symplectic
central charge

References(82)

Figures(0)

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