COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > DAMTP Friday GR Seminar > Adiabatic evolution of the Carter constant at resonance due to radiation reaction

## Adiabatic evolution of the Carter constant at resonance due to radiation reactionAdd to your list(s) Download to your calendar using vCal - Soichiro Isoyama (Kyoto)
- Friday 18 January 2013, 13:00-14:00
- Pavilion B Potter Room (B1.19).
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:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- Cosmology lists
- DAMTP Friday GR Seminar
- DAMTP info aggregator
- Kavli Institute for Cosmology Talk Lists
- Pavilion B Potter Room (B1.19)
- School of Physical Sciences
- Will Handley's Interests
Note that ex-directory lists are not shown. |
## Other listsJunior Algebra/Logic/Number Theory seminar Number Theory Study Group: P-adic Analysis Wolfson College Science Society talks## Other talksMonetary policy and financial repression in Britain, 1951-59 Molecular Gastronomy, The Science of Taste and Flavour Adaptive delayed-acceptance pseudo-marginal random walk Metropolis The ARM Cortex A-Class Microarchitecture Senate House Tour * 4:00pm - 5:00pm Mitochondrial gene expression in humans: a tale of two tails |