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Extremal Isolated Horizon/CFT Correspondence
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The near-horizon limit of the extremal (weakly) isolated horizon is obtained under the Bondi-like coordinates. For the vacuum case, explicit coordinate transformation relating the near-horizon metric under the Bondi-like coordinates and the standard Poincar\'e-type or global near-horizon metric of the extremal Kerr black hole is found, which shows that the two geometries are the same. Combined with the known thermodynamics of the (weakly) isolated horizon, it is argued that the Kerr/CFT correspondence can be generalized to the case of a large class of non-stationary extremal black holes.
Forward citations
Cited by 2 Pith papers
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Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
Near-horizon extremal BTZ black holes in NMG and TMG carry two Virasoro algebras whose central charges equal their spatial-infinity values.
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Monodromy, Hidden Conformal Symmetry and Soft Hair in Kerr-MOG Black Hole
Kerr-MOG black holes are claimed to admit a 2D CFT dual with temperatures TL and TR and central charge 12J, reproducing the Bekenstein-Hawking entropy and scalar absorption cross section.
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