Shadow of a noncommutative geometry inspired Ay\'on Beato Garc\'ia black hole

TL;DR

This paper investigates the shadow of a noncommutative geometry inspired Ayón Beato García black hole, analyzing how noncommutative parameters and plasma environment influence the black hole's apparent shape.

Contribution

It introduces a new black hole metric inspired by noncommutative geometry and analyzes its shadow, photon orbits, and effects of noncommutative parameters and plasma on the shadow shape.

Findings

Noncommutative parameters affect the shadow size and shape.

Smeared mass and charge influence the photon orbits.

Plasma environment modifies the shadow deformation.

Abstract

We introduce the noncommutative geometry inspired Ay\'on Beato Garc\'ia black hole metric and study various properties of this metric by which we try to probe the allowed values of the noncommutative parameter $\vartheta$ under certain conditions. We then construct the shadow (apparent shape) cast by this black hole. We derive the corresponding photon orbits and explore the effects of noncommutative spacetime on them. We then study the effects of noncommutative parameter $\vartheta$, smeared mass $m(r)$, smeared charge $q(r)$ on the silhouette of the shadow analytically and present the results graphically. We then discuss the deformation which arises in the shape of the shadow under various conditions. Finally, we introduce a plasma background and observe how the shadow behaves in this scenario.