Non-monotonic orbital velocity profiles around rapidly rotating Kerr-(anti-)de Sitter black holes

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 non-vanishing cosmological constant. Assuming that the profile of the orbital velocity is known, this effect constrains the spacetime parameters.

9 pages, 4 figures, accepted for Class. Quant. Grav

References in corpus (1)

• Cosmological constant and vacuum energy

Cited by in corpus (7)

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• Static spheres and Aschenbach effect for black holes in massive gravity
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• On non-monotonic orbital velocity profiles around rapidly rotating Kerr-(anti)de Sitter black holes: acomment to the recently published results