论文

论文

Extreme Kerr black hole microstates with horizon fluff
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论文题目: Extreme Kerr black hole microstates with horizon fluff
论文题目英文:
作者: Hajian, K.; Sheikh-Jabbari, M. M.; Yavartanoo, H.
论文出处:
刊物名称: PHYSICAL REVIEW D
: 2018
: 98
: 2
: 26025
联系作者: Hajian, K; Sheikh-Jabbari, MM (reprint author)
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摘要: 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 J(n) and Virasoro generators L-n 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 J(n) 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.
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