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![Effect of black hole rotation (spin effect). The shape of black hole horizon is distorted by the frame dragging. By measuring the aspect ratio we can investigate the spin of black hole Takahashi [7].](publication/305485959/figure/fig2/AS:1086756581576704@1636114368126/Effect-of-black-hole-rotation-spin-effect-The-shape-of-black-hole-horizon-is-distorted.jpg)
Effect of black hole rotation (spin effect). The shape of black hole horizon is distorted by the frame dragging. By measuring the aspect ratio we can investigate the spin of black hole Takahashi [7].
Source publication
![Image of black hole shadow calculated by Takahashi [7]. The black hole...](publication/305485959/figure/fig1/AS:1086756581572615@1636114368083/Image-of-black-hole-shadow-calculated-by-Takahashi-7-The-black-hole-shadow-size-in-S-g_Q320.jpg)
Imaging a black hole horizon as a shadow at the center of black hole accretion disk is another method to prove/check Einstein’s general relativity at strong gravitational fields. Such black hole imaging is expected to be achievable using a submillimeter wavelength VLBI (very long baseline interferometer) technique. Here, we introduce a Japanese bla...
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Citations
... Many of the topical visualizations expected a black shadow around a black hole see e.g. Ref. [3,5,6,9,20,22,25,26,29,30], or the simulations at the page of the Event Horizon Telescope [4]. The metric introduced shows that everything near the Event Horizon appears significantly scaled down. ...
... (A.5) R 0101 = g 10 R 0 010 + g 11 R 1 010 = 0 , R 0112 = g 22 R 2 011 = 0 , R 0113 = g 33 R 3 011 = 0 , R 0123 = g 33 R 3 012 = 0 , R 0201 = g 10 R 0 020 + g 11 R 1 020 = 0 , R 0202 = g 22 R 2 020 = 0 , R 0212 = g 22 ...
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Please read "Visualization of radial distance and proper time of the Schwarzschild metric".
An exact solution of Einstein's vacuum field equations is presented, which makes it possible to visualize the spacetime around a nonrotating black hole. The new metric is based on a coordinate frame that describes the deformation of spacetime due to gravity. The approach of this coordinate frame is physically motivated by continuum mechanics. The resulting metric is dynamic, but it matches the Schwarzschild metric in both radial and time components when considering one moment in time. Each component of the Riemann curvature tensor vanishes. The spacetime is flat. It is deformed in radial direction, but not curved. According to Einstein's equivalence principle, here the curvature is completely replaced by an accelerated motion towards the mass. The coordinate frame introduced can be considered as the proper reference frame of the spacetime around a Schwarzschild black hole.
