Caged black hole with Maxwell charge

TL;DR

This paper constructs a perturbative solution for a charged black hole in Kaluza-Klein spacetime, calculating thermodynamic corrections and validating the method within Einstein-Maxwell theory.

Contribution

It introduces a perturbative approach to charged black holes in Kaluza-Klein spacetime and computes thermodynamic corrections up to post-Newtonian order.

Findings

Method effectively computes thermodynamic variables.

Validates perturbative approach in Einstein-Maxwell theory.

Provides detailed corrections up to post-Newtonian order.

Abstract

We construct the perturbative solution of the charged black hole in the Kaluza-Klein spacetime with the matched asymptotic expansion method. The corrections to the thermodynamic variables are calculated up to the post-Newtonian order. We confirmed that the method can work very well in the Einstein-Maxwell theory.