Ananda Guneratne, Leo Rodriguez, Sujeev Wickramasekara, Tuna Yildirim
We study black hole thermodynamics of the non-extremal Kerr metric via the introduction of a new Kerr-like AdS2xS2 vacuum solution within an AdS2/CFT1 correspondence. This new Kerr-like black hole exhibits several unique useful properties and maps into the extremal Kerr throat, first introduced by Bardeen and Horowitz (Phys.Rev. D60 (1999) 104030), via specific coordinate transformation and limiting procedure. Analysis of the asymptotic symmetry group via its two dimensional analogue a la Robinson and Wilczek (2005 Phys.Rev.Lett. 95 011303) and Castro and Larsen (JHEP 12 (2009) 037), yields a one dimensional quantum conformal field theory (CFT) on each respective AdS2 boundary. The s-wave contribution of the respective CFT's energy-momentum-tensor together with the asymptotic symmetries generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein-Hawking entropy of the non-extremal Kerr black hole via Cardy's Formula. Our derived central charge also agrees with the near extremal Kerr/CFT Correspondence (2009 Phys.Rev. D 80, 124008) in the appropriate limits. We also compute the Hawking temperature of the non-extremal Kerr black hole by coupling the Robinson and Wilczek two dimensional analogue (RW2DA) of our new solution to conformal matter.
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http://arxiv.org/abs/1206.2261
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