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SUMMARY:Inspirals of point particles into black holes and two timescale ex
 pansions - Eanna Flanagan\, Cornell
DTSTART:20100430T120000Z
DTEND:20100430T130000Z
UID:TALK24134@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:Inspirals of stellar mass compact objects into massive black h
 oles are an important source for future gravitational wave detectors such 
 as Advanced LIGO and LISA. Detection of these sources and extracting infor
 mation 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 properti
 es of general solutions using a two-timescale expansion. This provides a r
 igorous derivation of the prescription for computing the leading order orb
 ital motion. As shown by Mino\, this leading order or adiabatic motion req
 uires only knowledge of the orbit-averaged\, dissipative piece of the self
  force. The two timescale method also gives a framework for calculating th
 e 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 thr
 ough the relativistic regime. These post-1-adiabatic corrections are gener
 ated by the fluctuating piece of the dissipative\, first order self force\
 , by the conservative piece of the first order self force\, and by the orb
 it-averaged\, dissipative piece of the second order self force. We also sk
 etch a two-timescale expansion of the Einstein equation\, and deduce an an
 alytic formula for the leading order\, adiabatic gravitational waveforms g
 enerated by an inspiral.
LOCATION:Pavilion B Potter Room (B1.19)
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