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25 April 2024
 
  » arxiv » 0710.4260

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Carter's constant revealed
Kjell Rosquist ; Tomas Bylund ; Lars Samuelsson ;
Date 24 Oct 2007
AbstractA 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.
Source arXiv, 0710.4260
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