Constant threshold correction to electrically charged dilatonic black holes

TL;DR

This paper analyzes how a constant threshold correction influences the properties of electrically charged dilatonic black holes, providing analytical solutions for various coupling scenarios and extremal limits.

Contribution

It introduces analytical solutions for dilatonic black holes with threshold corrections, including small coupling and extremal cases, extending previous models.

Findings

Exact solution for small coupling $eta$

Approximate solution for arbitrary $eta$

Exact extremal black hole solution

Abstract

We investigate the effect of a constant threshold correction to a general non-extreme, static, spherically symmetric, electrically charged black hole solution of the dilatonic Einstein-Maxwell Lagrangian, with an arbitrary coupling $\beta$ between the electromagnetic tensor and the dilaton field. For a small $\beta$, an exact analytical solution is obtained. For an arbitrary $\beta$, a close form solution, up to first order in the threshold correction, of the metric and the dilaton are presented. In the extremal limit, the close form solution is reduced to an exact analytical form.