• DOI:10.1103/PhysRevD.92.044017
• Corpus ID: 118507937

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}
}

• O. Zaslavskii
• Published 30 May 2015
• Physics
• Physical Review D

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.\ Jacobson Class. Quantum Grav. 28 187001 (2011) made for the Kerr metric. If a black hole is extremal ($\kappa =0$), circular on-horizon orbits are impossible for massive particles but, in general, are possible in its vicinity. The corresponding black hole parameters determine also the rate with which a fine-tuned particle on the noncircular near-horizon orbit asymptotically approaches the horizon. Properties of orbits under discussion are also related to the Ba% \~nados-Silk-West effect of high energy collisions near black holes. Impossibility of the on-horizon orbits in question is manifestation of kinematic censorship that forbids infinite energies in collisions.