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Does the shape of the shadow of a black hole depend on motional status of an observer?
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In a recent work on rotating black hole shadows [Phys. Rev. D{\bf 101}, 084029 (2020)], we proposed a new approach for calculating size and shape of the shadows in terms of astrometrical observables with respect to finite-distance observers. In this paper, we introduce a distortion parameter for the shadow shapes and discuss the appearance of the shadows of static spherical black holes and Kerr black holes in a uniform framework. We show that the shape of the shadow of a spherical black hole is circular in the view of arbitrary observers, and the size of the shadows tends to be shrunk in the view of a moving observer. The diameter of the shadows is contracted even in the direction perpendicular to the observers' motion. This seems not to be understood as length contraction effect in special relativity. The shape of Kerr black holes is dependent on motional status of observers located at finite distance. In spite of this, it is found that there is not a surrounding observer who could view the shape of the Kerr black hole shadows as circularity. These results could be helpful for observation of the Sagittarius A* in the centre of the Milky Way, as our solar system is moving around the centre black hole.
Forward citations
Cited by 2 Pith papers
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Determining parameters of Kerr-Newman black holes by shadow observation from finite distance and spatial infinity
The shadow contour of a Kerr-Newman black hole observed at infinity uniquely fixes (a/M, Q/M, i), while finite-distance shadows are degenerate for zero spin.
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On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
The authors introduce two new regular black hole metrics from nonlinear electrodynamics and two Limiting Curvature Condition versions, with numerical results for stability, shadows, and quasinormal modes.
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