Shadow of noncommutative geometry inspired black hole

preprint2015arXivOpen access

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/M0a/M_{0} with M0M_{0} black hole mass and inclination angle ii, the dimensionless noncommutative parameter ϑ/M0\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 ϑ/M0\sqrt{\vartheta}/M_{0}, while the distortion increases with it. Compared to the Kerr black hole, the parameter ϑ/M0\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.

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