Near-horizon circular orbits and extremal limit for dirty rotating black holes

@article{Zaslavskii2015NearhorizonCO,
  title={Near-horizon circular orbits and extremal limit for dirty rotating black holes},
  author={Oleg B. Zaslavskii},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={044017}
}
We consider generic rotating axially symmetric "dirty" (surrounded by matter) black holes. Near-horizon circular equatorial orbits are examined in two different cases of near-extremal (small surface gravity $\kappa $) and exactly extremal black holes. This has a number of qualitative distinctions. In the first case, it is shown that such orbits can lie as close to the horizon as one wishes on suitably chosen slices of space-time when $\kappa \rightarrow 0$. This generalizes observation of T… 

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