How do rotating black holes form in higher dimensions?

Abstract

Black holes are generally formed by gravitational collapse and accretion process. The necessary condition for the process to work is that overall force on collapsing/accreting matter element must be attractive. This is not so for the Myers–Perry metric describing a rotating black hole in higher dimensions. Also for accretion process to work, there should form accretion disk which requires existence of innermost stable circular orbit (ISCO). There can occur no bound orbits and consequently ISCOs in higher dimensions around a stationary black hole. Both these hurdles are overcome in pure Lovelock gravity. Rotating black holes in higher dimensions could thus form by collapse/accretion only in pure Lovelock gravity.