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We study the non-monotonic Keplerian velocity profiles related to locallynon-rotating frames (LNRF) in the field of near-extreme braneworld Kerr blackholes and naked singularities in which the non-local gravitational effects ofthe bulk are represented by a braneworld tidal charge $b$ and the 4D geometryof the spacetime structure is governed by the Kerr-Newman geometry. We showthat positive tidal charge has a tendency to restrict the values of the blackhole dimensionless spin $a$ admitting existence of the non-monotonic KeplerianLNRF-velocity profiles; the non-monotonic profiles exist in the black holespacetimes with tidal charge smaller than $b=0.41005$ (and spin larger than$a=0.76808$). With decreasing value of the tidal charge (which need not be onlypositive), both the region of spin allowing the non-monotonicity in theLNRF-velocity profile around braneworld Kerr black hole and the velocitydifference in the minimum-maximum parts of the velocity profile increaseimplying growing astrophysical relevance of this phenomenon.

Non-monotonic Keplerian velocity profiles around near-extreme braneworld Kerr black holes