1,404 research outputs found
Intermediate Mass Ratio Black Hole Binaries: Numerical Relativity meets Perturbation Theory
We study black-hole binaries in the intermediate-mass-ratio regime 0.01 < q <
0.1 with a new technique that makes use of nonlinear numerical trajectories and
efficient perturbative evolutions to compute waveforms at large radii for the
leading and nonleading modes. As a proof-of-concept, we compute waveforms for
q=1/10. We discuss applications of these techniques for LIGO/VIRGO data
analysis and the possibility that our technique can be extended to produce
accurate waveform templates from a modest number of fully-nonlinear numerical
simulations.Comment: 4 pages, 5 figures, revtex
Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole Binaries
In this paper, we compare the waveforms from the post-Newtonian (PN) approach
with the numerical simulations of generic black-hole binaries which have mass
ratio , arbitrarily oriented spins with magnitudes
and , and orbit 9 times from an initial orbital separation of
prior to merger. We observe a reasonably good agreement between
the PN and numerical waveforms, with an overlap of over 98% for the first six
cycles of the mode and over 90% for the and
modes.Comment: 4 pages, 2 figures, prepared for the proceedings of the 18th workshop
on general relativity and gravitation, Hiroshima, Japan, Nov.17 - Nov.21,
200
New method to integrate 2+1 wave equations with Dirac's delta functions as sources
Gravitational perturbations in a Kerr black hole background can not be
decomposed into simple tensor harmonics in the time domain. Here, we make the
mode decomposition only in the azimuthal direction and discuss the resulting
(2+1)-dimensional Klein-Gordon differential equation for scalar perturbations
with a two dimensional Dirac's -function as a source representing a
point particle orbiting a much larger black hole. To make this equation
amenable for numerical integrations we explicitly remove analytically the
singular behavior of the source and compute a global effective source for the
corresponding waveform.Comment: 4 pages, 1 figure, prepared for the proceedings of the 17th workshop
on general relativity and gravitation, Nagoya, Japan, Dec.3 - Dec.7, 200
Perturbative effects of spinning black holes with applications to recoil velocities
Recently, we proposed an enhancement of the Regge-Wheeler-Zerilli formalism
for first-order perturbations about a Schwarzschild background that includes
first-order corrections due to the background black-hole spin. Using this
formalism, we investigate gravitational wave recoil effects from a spinning
black-hole binary system analytically. This allows us to better understand the
origin of the large recoils observed in full numerical simulation of spinning
black hole binaries.Comment: Proceedings of Theory Meets Data Analysis at Comparable and Extreme
Mass Ratios (NRDA/Capra 2010), Perimeter Institute, June 2010 - 12 page
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