Carter's constant revealed

Abstract

A new formulation of Carter's constant for geodesic motion in Kerr black holes is given. It is shown that Carter's constant corresponds to the total angular momentum plus a precisely defined part which is quadratic in the linear momenta. The characterization is exact in the weak field limit obtained by letting the gravitational constant go to zero. It is suggested that the new form can be useful in current studies of the dynamics of extreme mass ratio inspiral (EMRI) systems emitting gravitational radiation.

Minor changes to match published version

References in corpus (2)

• Approximating the inspiral of test bodies into Kerr black holes
• Extreme Mass Ratio Inspirals: LISA's unique probe of black hole gravity

Cited by in corpus (12)

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• Off-equatorial stable circular orbits for spinning particles
• The appearance of a merging binary black hole very close to a spinning supermassive black hole
• Gravitational Burst Radiation from Pulsars in the Galactic centre and stellar clusters
• Radio timing in a millisecond pulsar-extreme/intermediate mass ratio binary system
• The separable analogue of Kerr in Newtonian gravity
• Mass and spin coevolution of black holes inspiralling through dark matter
• Carter Constant and Superintegrability