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Shadow of noncommutative geometry inspired black hole

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arxiv 1501.06298 v2 pith:VMPL4AYU submitted 2015-01-26 gr-qc

Shadow of noncommutative geometry inspired black hole

classification gr-qc
keywords blackholeshadownoncommutativeparametergeometryinspiredsqrt
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Probing Kalb-Ramond gravity with charged rotating black holes: constraints from EHT observations

    gr-qc 2026-04 unverdicted novelty 3.0

    EHT shadow observations constrain the Lorentz-violating parameter ℓ in Kalb-Ramond gravity for charged rotating black holes to roughly |ℓ| ≲ 0.1-0.2, with an upper bound ℓ ≲ 0.19 from Sgr A*.