Meissner effect and holographic dual for the Melvin-Kerr-Newman-Taub-NUT spacetimes

Abstract

We investigate correspondence between the Melvin-Kerr-Newman-Taub-NUT spacetime, and the conformal field theory. The near horizon geometry of extremal Melvin-Kerr-Newman-Taub-NUT spacetime possesses the $SL\left(2,\mathbb{R}\right)\times U\left(1\right)$ isometry, which allows one to employ the asymptotic symmetry group method, in establishing the holographic correspondence for the spacetime. We also use the alternative way of the stretched horizon method, to compute the extremal entropy of the black hole. We find perfect agreement between the results of asymptotic symmetry group and the stretched horizon methods, to establish the holography for the extremal Melvin-Kerr-Newman-Taub-NUT black hole. The black hole Meissner effect for the Melvin-Kerr-Taub-NUT black hole is also discussed.

v4: revisions added, mathces published version; v3: a discussion for Meissner effect is added; v2: an appendix is added, a Maple file for Einstein equations calculations with GRTensor package is provided; v1: 18 pages, no figure

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