Abstract
It has been recently demonstrated that the orbital velocity profile around Kerr black holes in the equatorial plane as observed in the locally non-rotating frame exhibits a non-monotonic radial behaviour. We show here that this unexpected minimum–maximum feature of the orbital velocity remains if the Kerr vacuum is generalized to the Kerr–de Sitter or Kerr–anti-de Sitter metric. This is a new general relativity effect in Kerr spacetimes with a non-vanishing cosmological constant. Assuming that the profile of the orbital velocity is known, this effect constrains the spacetime parameters.
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