Magnetized Black Hole on Taub-Nut Instanton

TL;DR

This paper introduces an exact 5D Einstein-Maxwell-dilaton solution depicting a magnetized black hole on a Taub-Nut instanton, exploring its properties and deriving Smarr-like relations.

Contribution

It provides a novel exact solution for a magnetized black hole on a Taub-Nut instanton, including a new regular magnetized Kaluza-Klein monopole.

Findings

The solution is magnetized without charge.

Derived Smarr-like relations for the system.

Presented a new regular magnetized Kaluza-Klein monopole.

Abstract

We present an exact solution to the 5D Einstein-Maxwell-dilaton equations describing a static black hole on Taub-Nut instanton. By construction the solution does not possess a charge, but is magnetized along the compact dimension. As a limit we obtain a new regular solution representing a magnetized Kaluza- Klein monopole. We investigate the relevant physical properties and derive the Smarr-like relations.