Black hole solutions in Euler-Heisenberg theory

TL;DR

This paper constructs and analyzes black hole solutions within the Einstein-Euler-Heisenberg theory, revealing unique causality and thermodynamics properties influenced by coupling constants, despite having a central singularity.

Contribution

It provides the first analytical magnetically charged black hole solutions in the Einstein-Euler-Heisenberg framework, exploring their causality and thermodynamic behavior.

Findings

Solutions depend on coupling constants a and b.

Black holes exhibit unique causality properties.

Thermodynamics are affected by Euler-Heisenberg parameters.

Abstract

We construct static and spherically symmetric black hole solutions in the Einstein-Euler-Heisenberg (EEH) system which is considered as an effective action of a superstring theory. We considered electrically charged, magnetically charged and dyon solutions. We can solve analytically for the magnetically charged case. We find that they have some remarkable properties about causality and black hole thermodynamics depending on the coupling constant of the EH theory $a$ and $b$, though they have central singularity as in the Schwarzschild black hole.