Are there interesting relativistic effects related to this other than this Cherenkov radiation?
Here is the relevant chapter from the Feynman lectures, Relativistic Effects in Radiation - https://www.feynmanlectures.caltech.edu/I_34.html
If you ask AI, you will get a list with nice short explanatory notes; check it out.
Finally on a related and very interesting vein, Physicists have even brought light to a standstill in tiny gas clouds of sodium atoms cooled to near absolute zero! See the pdf of Scientific American article "Frozen Light" by Lene Vestergaard Hau from her publications webpage - https://groups.seas.harvard.edu/haulab/publications/HauPubli...