Shadow of a noncommutative inspired Einstein-Euler-Heisenberg black hole

TL;DR

This paper investigates how noncommutative geometry influences the shadow and photon orbits of Einstein-Euler-Heisenberg black holes, revealing that noncommutativity causes the black hole shadow to shrink for nearby observers.

Contribution

It introduces a noncommutative inspired model of Einstein-Euler-Heisenberg black holes and analyzes its shadow and photon orbits, highlighting the effects of noncommutativity on observable features.

Findings

Black hole shadow size decreases with increasing noncommutativity.

Existence of marginally stable bound orbits in the noncommutative model.

Critical photon escape angles are affected by noncommutative parameters.

Abstract

Using a noncommutative inspired Einstein-Euler-Heisenberg black hole, we analyse the associated graviton and light rings that together with the event horizon, provide the necessary components to build its shadow. An analysis of the angular radius of the noncommutative inspired Einstein-Euler-Heisenberg black hole shows that for observers located in its vicinity, it becomes smaller when compared with the commutative case; this effect is more noticeable as noncommutativity increases. The existence of marginally stable bound orbits and the critical angle for the escaping of photons of a noncommutative inspired Einstein-Euler-Heisenberg star is also discussed.