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Computer plot of bookkeeper radial and tangential velocities of light near an extreme Kerr black hole (a = J/M = M). Note that as r/M becomes large, the different bookkeeper velocities all approach plus or minus unity. Note also that purely radial motion of light is not possible inside the static limit. Important: These are initial velocities of light just after launch in the given direction. After launch, the light will generally change direction. For the case of a nonrotating black hole, see Figures 6 and 7, pages B-18–19. 

Computer plot of bookkeeper radial and tangential velocities of light near an extreme Kerr black hole (a = J/M = M). Note that as r/M becomes large, the different bookkeeper velocities all approach plus or minus unity. Note also that purely radial motion of light is not possible inside the static limit. Important: These are initial velocities of light just after launch in the given direction. After launch, the light will generally change direction. For the case of a nonrotating black hole, see Figures 6 and 7, pages B-18–19. 

Source publication
Figure 1 Computer plot of the cross-section of an extreme black hole...
Figure 2 Computer plot of bookkeeper radial and tangential velocities...
Figure 3 Computer plot: Kerr map (Kerr bookkeeper plot) of the...
Figure 4 Computer plot: comparison of radial components of plunge...
+3 Figure 5 Kerr map (perspective plot) of rings surrounding a spinning...
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  • May 2015

Contexts in source publication

Context 1
... No purely radial motion is possible inside the ergosphere. See Figure 2. ...
Context 2
... measures the Kerr bookkeeper velocities directly, just as nobody measured directly book- keeper velocities near a non-spinning black hole (Chapters 3 through 5). Figure 2 shows the radial and tangential bookkeeper velocities of light for the extreme Kerr metric. Note again that these plots show the initial veloc- ity of a light flash launched in the various directions. ...
Context 3
... that at the horizon the initial tangential rota- tion dφ/dt for light has a single value whichever way the pulse is launched. Show that the bookkeeper initial tangential velocity Rdφ/dt for this light at the horizon has the value shown in Figure 2. ...
Context 4
... What evidence do equation [11] and Figure 2 give for this conclusion? What is "the hole's own spin speed"? ...
Context 5
... 10 Negative Energy: The Penrose Process F-23 Figure 7 shows a plot of equation [37] along with plots of the positive and negative tangential velocities of light from Figure 2. The tangential motion of any particle must be bounded by the curves of tangential light motion. ...