Near Extremal Kerr Entropy from AdS(2) Quantum Gravity

Castro, Alejandra; Larsen, Finn

doi:10.1088/1126-6708/2009/12/037

Near Extremal Kerr Entropy from AdS(2) Quantum Gravity

Alejandra Castro
(
- McGill U. and
- Michigan U., MCTP
)
,
Finn Larsen
(
- Michigan U., MCTP
)

Aug, 2009

28 pages

Published in:

JHEP 12 (2009) 037

e-Print:

0908.1121 [hep-th]

DOI:

10.1088/1126-6708/2009/12/037

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Abstract: (arXiv)

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.

Note:

28 pages

black hole: Kerr
algebra: Virasoro
excited state: energy
central charge
space-time: anti-de Sitter
entropy
quantum gravity
AdS/CFT correspondence
temperature
thermodynamics

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