2016
DOI: 10.1088/0264-9381/33/15/155013
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Magnetized Kerr/CFT correspondence

Abstract: We extend the conjectured Kerr/CFT correspondence to the case of extremal Kerr black holes immersed by an magnetic field, namely the extremal Melvin-Kerr black holes. We compute the central charge which appears in the associated Virasoro algebra generated by a class of diffeomorphisms that satisfies a set of boundary conditions in the near horizon of an extremal Melvin-Kerr black hole. Our results support the Kerr/CFT conjecture, where the macroscopic Bekenstein-Hawking entropy for an extremal Melvin-Kerr blac… Show more

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Cited by 35 publications
(40 citation statements)
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References 84 publications
(210 reference statements)
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“…These solutions are worth to be investigated, hence the results can be confronted to the forthcoming data on black hole properties [32] with more precisions. Related to the electromagnetic interaction which is considered in the generalized BKL method [10], it is also interesting to see how significant the contribution of external magnetic fields [33,34] to the final spin of black holes and the QNMs frequencies.…”
Section: Resultsmentioning
confidence: 99%
“…These solutions are worth to be investigated, hence the results can be confronted to the forthcoming data on black hole properties [32] with more precisions. Related to the electromagnetic interaction which is considered in the generalized BKL method [10], it is also interesting to see how significant the contribution of external magnetic fields [33,34] to the final spin of black holes and the QNMs frequencies.…”
Section: Resultsmentioning
confidence: 99%
“…Several extensions of the construction of a Virasoro algebra which allows to reproduce the extremal black hole entropy via the chiral thermal Cardy formula exist. The same reasoning applies to magnetized black holes (Astorino 2015b , a ; Siahaan 2016 ), black holes in the large d limit (Guo et al. 2016 ), superentropic black holes (Sinamuli and Mann 2016 ), black rings (Sadeghian and Yavartanoo 2016 ) and black holes with acceleration (Astorino 2016 ).…”
Section: Matching the Entropy Of Extremal Black Holesmentioning
confidence: 86%
“…Note that this metric (16) and the electromagnetic potential (18) will remain the same as the near-horizon geometry of Kerr-Newman space-time when the NUT charge vanishes.…”
Section: Near-horizon Geometry Of Kerr-newman-nut Black Holesmentioning
confidence: 99%