|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Adiabatic evolution of the Carter constant at resonance due to radiation reaction
If you have a question about this talk, please contact Dr Joan Camps.
We discuss the inspiral of a small body in a background Kerr spacetime. When the time scale of the radiation reaction is sufficiently longer than its orbital period, the inspiral is in the adiabatic regime. In 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.
Although there is no conserved current composed of the perturbation field corresponding to the Carter constant, it has been shown that the averaged rate 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 oscillations. However, an inspiralling orbit may cross a “resonance” point, where the frequencies of the radial and polar orbital oscillations are in a rational ratio. At the resonant point, one cannot find a simultaneous turning point in general. Hence, even for the averaged rate of the change of the Carter constant, a direct computation of the “self-forces”, which is quite challenging especially in the case of the Kerr background, seems to be necessary.
In this talk, however, we show that it is possible to compute the averaged rate of the change of the Carter constant in a relatively simple manner even at a “resonance” point.
This talk is part of the DAMTP Friday GR Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsCambridge International Forum for Development Pragmatics reading group Seminars at the Department of Biochemistry
Other talksLARMOR LECTURE - Title to be confirmed Steven Pinker: The Past, Present and Future of Violence Financial market implications of monetary policy coordination Scanning Electron Microscopes. CGHR Research Group Systems Biology and Genome Evolution