Non-commutative inspired black holes in Euler-Heisenberg non-linear electrodynamics

TL;DR

This paper derives non-commutative inspired charged black hole solutions within Euler-Heisenberg non-linear electrodynamics, analyzing their horizons, energy conditions, and shadows to understand their physical properties.

Contribution

It introduces novel non-commutative inspired black hole solutions in Euler-Heisenberg electrodynamics and examines their horizon corrections and energy conditions.

Findings

Non-commutative corrections affect horizon radius.

Energy conditions are analyzed for these solutions.

Black hole shadows are characterized for the derived metrics.

Abstract

We find non-commutative inspired electrically and magnetically charged black hole solutions in Euler-Heisenberg non-linear electrodynamics. For these solutions, we determine the non-commutative corrections to the horizon radius for the general and extremal case. We also analyse the weak, dominant and strong energy conditions and the shadow associated with these metrics.