Shadow of a Charged Rotating Non-Commutative Black Hole

TL;DR

This paper analyzes how non-commutative charge and spin influence the shadow of a charged rotating black hole, revealing shape deviations and observable effects, including plasma interactions, highlighting the significant impact of non-commutativity.

Contribution

It introduces a detailed study of black hole shadows considering non-commutative geometry effects, including the influence of charge, spin, inclination, and plasma on shadow deformation.

Findings

Shadow shape deviates from circular with decreasing non-commutative charge

Deformation and distortion decrease for small non-commutative charge

Non-commutativity significantly impacts black hole shadow characteristics

Abstract

This paper investigates the shadow of a charged rotating non-commutative black hole. For this purpose, we first formulate the null geodesics and study the effects of non-commutative charge on the photon orbit. We then explore the effect of spin, angle of inclination as well as non-commutative charge on the silhouette of the shadow. It is found that shape of the shadow deviates from the circle with the decrease in the non-commutative charge. We also discuss observable quantities to study the deformation and distortion in the shadow cast by the black hole which decreases for small values of non-commutative charge. Finally, we study the shadows in the presence of plasma. We conclude that the non-commutativity has a great impact on the black hole shadow.