Ultrahigh energy particle collisions near many-dimensional black holes:   general approach
  If two particles moving towards a black hole collide near the horizon, their energy in the centre of mass frame can grow unbounded. This is the so-called Banados - Silk - West (BSW) effect. Earlier, it was shown that in the 3+1 space-time this effect has a universal nature. We show that for a wide class of many-dimensional black holes (including, say, the Myers-Perry black hole) this is also true. The suggested analysis is general and does not require special properties of the metric like separability of variables for geodesics, etc. 
O. B. Zaslavskii
gr-qc astro-ph.HE hep-th