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

A Müller and B Aschenbach

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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.


PACS

04.70.-s Physics of black holes

02.40.-k Geometry, differential geometry, and topology

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.20.-q Classical general relativity

MSC

83F05 Cosmology

83C57 Black holes

Subjects

Mathematical physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 10 (21 May 2007)

Received 15 January 2007, in final form 5 April 2007

Published 30 April 2007



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