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 > Inspirals of point particles into black holes and two timescale expansions

## Inspirals of point particles into black holes and two timescale expansionsAdd to your list(s) Download to your calendar using vCal - Eanna Flanagan, Cornell
- Friday 30 April 2010, 13:00-14:00
- Pavilion B Potter Room (B1.19).
If you have a question about this talk, please contact David Kubiznak. Inspirals of stellar mass compact objects into massive black holes are an important source for future gravitational wave detectors such as Advanced LIGO and LISA . Detection of these sources and extracting information from the signal relies on accurate theoretical models of the binary dynamics. We cast the equations describing binary inspiral in the extreme mass ratio limit in terms of action angle variables, and derive properties of general solutions using a two-timescale expansion. This provides a rigorous derivation of the prescription for computing the leading order orbital motion. As shown by Mino, this leading order or adiabatic motion requires only knowledge of the orbit-averaged, dissipative piece of the self force. The two timescale method also gives a framework for calculating the post-adiabatic corrections. For circular and for equatorial orbits, the leading order corrections are suppressed by one power of the mass ratio, and give rise to phase errors of order unity over a complete inspiral through the relativistic regime. These post-1-adiabatic corrections are generated by the fluctuating piece of the dissipative, first order self force, by the conservative piece of the first order self force, and by the orbit-averaged, dissipative piece of the second order self force. We also sketch a two-timescale expansion of the Einstein equation, and deduce an analytic formula for the leading order, adiabatic gravitational waveforms generated by an inspiral. 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
- Cosmology, Astrophysics and General Relativity
- DAMTP Friday GR Seminar
- DAMTP info aggregator
- Interested Talks
- Kavli Institute for Cosmology Talk Lists
- Pavilion B Potter Room (B1.19)
- Priscilla
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsJustice and Communities Research Unit, Anglia Ruskin University Sir David King's Surface Science Seminars OCaml Labs Events## Other talksCambridge - Corporate Finance Theory Symposium September 2017 - Day 2 Coinage in the later medieval countryside: single-finds and the evidence from Rendlesham, Suffolk TODAY Adrian Seminar: "Starting new actions and learning from it" Developmental cognitive neuroscience Symbolic AI in Computational Biology; applications to disease gene and drug target identification ***PLEASE NOTE THIS SEMINAR IS CANCELLED*** Migration in Science The role of myosin VI in connexin 43 gap junction accretion Cambridge Rare Disease Summit 2017 Atiyah Floer conjecture Liberalizing Contracts: Nineteenth Century promises through literature, law and history |