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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Inspirals of point particles into black holes and
two timescale expansions - Eanna Flanagan\, Cornel
l
DTSTART;TZID=Europe/London:20100430T130000
DTEND;TZID=Europe/London:20100430T140000
UID:TALK24134AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/24134
DESCRIPTION:Inspirals of stellar mass compact objects into mas
sive black holes are an important source for futur
e gravitational wave detectors such as Advanced LI
GO and LISA. Detection of these sources and extrac
ting information from the signal relies on accurat
e theoretical models of the binary dynamics. We ca
st the equations describing binary inspiral in the
extreme mass ratio limit in terms of action angle
variables\, and derive properties of general solu
tions using a two-timescale expansion. This provid
es a rigorous derivation of the prescription for c
omputing the leading order orbital motion. As show
n by Mino\, this leading order or adiabatic motion
requires only knowledge of the orbit-averaged\, d
issipative piece of the self force. The two timesc
ale method also gives a framework for calculating
the post-adiabatic corrections. For circular and f
or equatorial orbits\, the leading order correctio
ns 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 regi
me. These post-1-adiabatic corrections are generat
ed by the fluctuating piece of the dissipative\, f
irst order self force\, by the conservative piece
of the first order self force\, and by the orbit-a
veraged\, dissipative piece of the second order se
lf force. We also sketch a two-timescale expansion
of the Einstein equation\, and deduce an analytic
formula for the leading order\, adiabatic gravita
tional waveforms generated by an inspiral.
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:David Kubiznak
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