Microscopic Entropy of the Magnetised Extremal Reissner-Nordstrom Black Hole

Abstract

The extremal Reissner-Nordstrom black hole embedded in a Melvin-like magnetic universe is studied in the framework of the Kerr/CFT correspondence. The near horizon geometry can be written as a warped and twisted product of $Ad{S}_2\times S^2$, also in presence of an axial external magnetic field that deforms the black hole. The central charge of the Virasoro algebra can be extracted from the asymptotic symmetries. Using the Cardy formula for the microscopic statistical entropy of the dual two-dimensional CFT, the Bekenstein-Hawking entropy, for this charged and magnetised black hole, is reproduced.

12 pages, accepted for publication in JHEP

References in corpus (8)

• Near-horizon symmetries of extremal black holes
• CFT Duals for Extreme Black Holes
• Cargese Lectures on the Kerr/CFT Correspondence
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• Charging axisymmetric space-times with cosmological constant
• Magnetised Kerr/CFT correspondence
• Three-dimensional asymptotically flat Einstein-Maxwell theory
• Insights from Melvin-Kerr-Newman spacetimes

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