Carter's constant revealed
General Relativity and Quantum Cosmology
2009-05-12 v3 Astrophysics
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.
Cite
@article{arxiv.0710.4260,
title = {Carter's constant revealed},
author = {Kjell Rosquist and Tomas Bylund and Lars Samuelsson},
journal= {arXiv preprint arXiv:0710.4260},
year = {2009}
}
Comments
Minor changes to match published version