Thermodynamics of rotating charged dilaton black holes in an external magnetic field

TL;DR

This paper develops an exact solution for rotating charged dilaton black holes in an external magnetic field, analyzing their thermodynamics and deriving a Smarr-like relation that includes magnetic momentum contributions.

Contribution

The study introduces a new exact solution and extends black hole thermodynamics to include magnetic momentum effects in magnetized dilaton black holes.

Findings

Derived a Smarr-like relation with magnetic momentum terms

Formulated the first law of thermodynamics for magnetized black holes

Analyzed properties of the new black hole solution

Abstract

In the present paper we study the long-standing problem for the thermodynamics of magnetized dilaton black holes. For this purpose we construct an exact solution describing a rotating charged dilaton black hole immersed in an external magnetic field and discuss its basic properties. We derive a Smarr-like relation and the thermodynamics first law for these magnetized black holes. The novelty in the thermodynamics of the magnetized black holes is the appearance of new terms proportional to the magnetic momentum of the black holes in the Smarr-like relation and the first law.