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

TL;DR

This paper explores the holographic duality of extremal Melvin-Kerr-Newman-Taub-NUT black holes, demonstrating agreement between different entropy calculation methods and discussing the black hole Meissner effect.

Contribution

It establishes the holographic correspondence for extremal Melvin-Kerr-Newman-Taub-NUT black holes using symmetry and horizon methods, and discusses the Meissner effect.

Findings

Perfect agreement between asymptotic symmetry group and stretched horizon entropy calculations.

Holographic duality is confirmed for the extremal Melvin-Kerr-Newman-Taub-NUT black hole.

Black hole Meissner effect is analyzed for this spacetime.

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.