Area spectrum of extremal black holes with warped AdS near-horizon geometry

Abstract

In this letter, we provide an alternative method to study the area spectrum of certain classes of extremal black holes which have near-horizon geometry as warped AdS. We argue that previous methods which are based on the existence of quasinormal modes may not be applicable in the extremal limit. The topology difference of the near-horizon geometry between non-extremal and extremal black holes implies a separate treatment is needed to study the area discreteness in the extremal limit. To be specific, we will study area spectrum of supersymmetric BMPV black holes/black rings and Reissner-Norstroem black holes at the extremal limit. Inspired by the recently established Kerr/CFT and RN/CFT correspondence, we propose a new way to quantize the area regardless of the (non-)existence of quasinormal modes or zero Hawking temperature. At last, we propose a dilute gas model and harmonic oscillator model which have same degrees of freedom as the dual CFT.

6 pages, revtex4, references added, typo fixed

References in corpus (13)

• The Kerr/CFT Correspondence
• The physical interpretation of the spectrum of black hole quasinormal modes
• CFT Duals for Extreme Black Holes
• Extremal limits and black hole entropy
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Black hole spectroscopy via adiabatic invariance
• The RN/CFT Correspondence
• Quantization of the black hole area as quantization of the angular momentum component
• Kerr/CFT correspondence and five-dimensional BMPV black holes
• Spectroscopy of a Reissner-Nordström black hole via an action variable
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• RN/CFT Correspondence From Thermodynamics
• Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry