Lightcones around Kerr ring

[Dmitry67]

I am trying to find any diagrams like the following ones:

http://www.valdostamuseum.org/hamsmith/DFblackIn.gif
http://www.illc.uva.nl/~seop/entries/sp ... one-bh.gif
http://www.orbiter-forum.com/gallery/da ... ration.jpg

(the 1st is the best, even I failed to find it in better resolution)

But for the Kerr ring?
Especially, how these lightcones are oriented inside the ring?

[Dmitry67]

Could anyone at least explain why there are no answers?

[JesseM]

Probably easiest to visualize in a Penrose diagram like this one (http://online.itp.ucsb.edu/online/colloq/hamilton1/oh/penrose_rn.html), where all light rays are drawn at 45 degree angles (and all timelike worldlines are closer to vertical than 45 degrees) so a light cone from any event would look just like it does in a Minkowski diagram (compare with Penrose diagram for a nonrotating Schwarzschild black hole here (http://online.itp.ucsb.edu/online/colloq/hamilton1/oh/penrose_Schw.html) and here (http://online.itp.ucsb.edu/online/colloq/hamilton1/oh/penrose_Schwpar.html)). Also, it's not quite what you're asking for but you may be interested in the "waterfall diagrams" on this page (http://jilawww.colorado.edu/~ajsh/insidebh/waterfall.html) and this one (http://online.itp.ucsb.edu/online/colloq/hamilton1/oh/kerr.html), with more details about these types of diagrams given in the paper (http://arxiv.org/abs/gr-qc/0411060) linked to on the second page.