Noncommutative geometry inspired black holes in Rastall gravity

Understand

Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed.

• We consider the fluid-type matter with the Gaussian-distribution smeared mass density.
• Taking a Schwarzschild-like metric ansatz, it is shown that the noncommutative geometry inspired Schwarzschild black hole (NCSBH) in Rastall gravity, unlike its counterpart in general relativity (GR), is not a regular black hole.
• It has at most one event horizon.