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Magnetised Kerr/CFT correspondence · Around

2015

Magnetised Kerr/CFT correspondence

Astorino, Marco

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The tools of Kerr/CFT correspondence are applied to the Kerr black hole embedded in an axial external magnetic field.

Its extremal near horizon geometry remains a warped and twisted product of $AdS_2\times S^2$.
The central charge of the Virasoro algebra, generating the asymptotic symmetries of the near horizon geometry, is found.
It is used to reproduce, via the Cardy formula, the Bekenstein-Hawking entropy of the magnetised Kerr black hole as the statistical microscopic entropy of a dual CFT.

Built on

F. J. Ernst, “Black holes in a magnetic universe”
1976
Earlier work this paper cites.
F. J. Ernst and W. Wild, “Kerr black holes in a magnetic universe”
1976
Earlier work this paper cites.
W. A. Hiscock, “On Black Holes In Magnetic Universes”
1981
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity”
1998
Earlier work this paper cites.
J. M. Bardeen and G. T. Horowitz, “The Extreme Kerr throat geometry: A Vacuum analog of A d S 2 × S 2 AdS_{2}\times S^{2} ”
1999
Earlier work this paper cites.
A. Ashtekar, C. Beetle and J. Lewandowski, “Mechanics of rotating isolated horizons”
2001
Earlier work this paper cites.

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Then

G. Compere, “The Kerr/CFT correspondence and its extensions: a comprehensive review”
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2012
Later among the works it cites.
G. W. Gibbons, A. H. Mujtaba and C. N. Pope, “Ergoregions in Magnetised Black Hole Spacetimes”
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G. W. Gibbons, Y. Pang and C. N. Pope, “Thermodynamics of magnetized Kerr-Newman black holes”
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2011

Cited alongside, same era.

I. Booth, M. Hunt, A. Palomo-Lozano and H. K. Kunduri, “Insights from Melvin-Kerr-Newman spacetimes”

Cited in the paper.

F. Hejda, J. Bicak, “Black Holes and Magnetic Fields”

Cited in the paper.

G. Barnich, P. H. Lambert and P. Mao, “Three-dimensional asymptotically flat Einstein-Maxwell theory”,

Cited in the paper.

2015

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