TO: COALESCING BLACK-HOLE BINARIES: COMPARISON BETWEEN ANALYTICAL AND NUMERICAL RESULTS
SESZIONE DI TORINO I will discuss recent comparisons between Effective-One-Body (EOB),
analytic gravitational
waveforms for binary black hole coalescence and numerical relativity (NR)
data from different
groups: (published) Caltech-Cornell (inspiral) data, AEI and Jena
(coalescence data.
The EOB waveform contains several "flexibility parameters" that need to
be fixed. I will show
how to jointly determine the values of these parameters by simultaneously
best-fitting the
EOB waveform to numercal relativity waveforms. The resulting, essentially
unique, ``best-fit''
EOB waveform is then shown to exhibit excellent agreement with NR
coalescence data for
several mass ratios. The dephasing between EOB and published
Caltech-Cornell inspiral
data is found to be smaller than $\pm 2\times 10^{-4}$ gravitational wave
cycles over the
entire span ($3000M$, corresponding to 30 cycles) of the inspiral
simulation. The dephasings
between EOB and coalescence data are found to be smaller than: (i) $\pm
4\times 10^{-3}$
gravitational wave cycles over $730M$ (11 cycles), in the equal mass
case, and
(ii) $\pm 8\times 10^{-3}$ gravitational wave cycles over about $900M$
(17 cycles) in the 2:1
mass-ratio case. These new results corroborate the aptitude of the EOB
formalism to provide
accurate representations of general relativistic waveforms, which are
needed by currently
operating gravitational wave detectors.
DATA: 15-04-2008
Istituto Nazionale di Fisica
Nucleare - Piazza dei Caprettari, 70 -
00186 Roma
tel. +39 066840031 - fax +39 0668307924 - email: presidenza@presid.infn.it