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SUMMARY:Adiabatic evolution of the Carter constant at resonance due to rad
 iation reaction - Soichiro Isoyama (Kyoto)
DTSTART:20130118T130000Z
DTEND:20130118T140000Z
UID:TALK42072@talks.cam.ac.uk
CONTACT:Dr Joan Camps
DESCRIPTION:We discuss the inspiral of a small body in a background Kerr s
 pacetime.\nWhen the time scale of the radiation reaction is sufficiently l
 onger than its orbital period\, the inspiral is in the adiabatic regime. I
 n this case\, the orbital evolution is rather accurately described only by
  the knowledge of the averaged evolution of the constants of motion\, i.e.
 \, the energy\, azimuthal angular momentum and the Carter constant.\n\nAlt
 hough there is no conserved current composed of the perturbation field cor
 responding to the Carter constant\, it has been shown that the averaged ra
 te of the change of the Carter constant can be given by a simple formula\,
  when there exists a simultaneous turning point of the radial and polar os
 cillations. However\, an inspiralling orbit may cross a "resonance" point\
 , where the frequencies of the radial and polar orbital oscillations are i
 n a rational ratio. At the resonant point\, one cannot find a simultaneous
  turning point in general. Hence\, even for the averaged rate of the chang
 e of the Carter constant\, a direct computation of the "self-forces"\, whi
 ch is quite challenging especially in the case of the Kerr background\, se
 ems to be necessary.\n\nIn this talk\, however\, we show that it is possib
 le to compute the averaged rate of the change of the Carter constant in a 
 relatively simple manner even at a "resonance" point.
LOCATION:Pavilion B Potter Room (B1.19)
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