# Shadow cast of non-commutative black holes in Rastall gravity

## TL;DR

This paper investigates the shadows and energy emission of non-commutative black holes within Rastall gravity, highlighting how non-commutative parameters influence black hole visibility and shadow formation.

## Contribution

It introduces a study of black hole shadows in Rastall gravity considering non-commutative effects, a novel combination not previously explored.

## Key findings

- Shadow size depends on non-commutative parameter.
- Non-commutative black holes can resemble Schwarzschild black holes.
- Shadow formation aligns with unstable circular orbit conditions.

## Abstract

We study the shadow and energy emission rate of a spherically symmetric non-commutative black hole in Rastall gravity. Depending on the model parameters, the non-commutative black hole can reduce to the Schwarzschild black hole. Since the non-vanishing non-commutative parameter affects the formation of event horizon, the visibility of the resulting shadow depends on the non-commutative parameter in Rastall gravity. The obtained sectional shadows respect the unstable circular orbit condition, which is crucial for physical validity of the black hole image model.