Shadow of noncommutative geometry inspired black hole

TL;DR

This paper studies how noncommutative geometry influences the shadow of rotating black holes, revealing that the noncommutative parameter affects shadow size and distortion, potentially allowing observational differentiation from Kerr black holes.

Contribution

It introduces the impact of noncommutative geometry parameters on black hole shadow shape, providing a novel way to distinguish such black holes observationally.

Findings

Shadow size decreases with noncommutative parameter

Shadow distortion increases with noncommutative parameter

Noncommutative effects enhance shadow deformation compared to Kerr black holes

Abstract

In this paper, the shadow casted by the rotating black hole inspired by noncommutative geometry is investigated. In addition to the dimensionless spin parameter $a/M_{0}$ with $M_{0}$ black hole mass and inclination angle $i$, the dimensionless noncommutative parameter $\sqrt{\vartheta}/M_{0}$ is also found to affect the shape of the black hole shadow. The result shows that the size of the shadow slightly decreases with the parameter $\sqrt{\vartheta}/M_{0}$, while the distortion increases with it. Compared to the Kerr black hole, the parameter $\sqrt{\vartheta}/M_{0}$ increases the deformation of the shadow. This may offer a way to distinguish noncommutative geometry inspired black hole from Kerr one via astronomical instruments in the near future.