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Carter's constant revealed
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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.
Forward citations
Cited by 2 Pith papers
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On the integrability of root-Kerr probe dynamics
In the root-Kerr model, integrability holds to all spin orders at first order in probe charge with Newman-Janis vertices but extends only to spin-squared at second order and fails at spin-cubic, with asymptotic conser...
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On the integrability of root-Kerr probe dynamics
In the root-Kerr probe model, integrability holds to all spin orders at leading probe charge under Newman-Janis vertices but fails at spin-cubic order at second charge order and cannot be restored by further action de...
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