55 research outputs found
Comparison between numerical relativity and a new class of post-Newtonian gravitational-wave phase evolutions: the non-spinning equal-mass case
We compare the phase evolution of equal-mass nonspinning black-hole binaries
from numerical relativity (NR) simulations with post-Newtonian (PN) results
obtained from three PN approximants: the TaylorT1 and T4 approximants, for
which NR-PN comparisons have already been performed in the literature, and the
recently proposed approximant TaylorEt. The accumulated phase disagreement
between NR and PN results over the frequency range to
is greater for TaylorEt than either T1 or T4, but has the
attractive property of decreasing monotonically as the PN order is increased.Comment: 6 pages, 4 figure
Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits
We derive from first principles third post-Newtonian (3PN) accurate
Keplerian-type parametric solution to describe PN-accurate dynamics of
non-spinning compact binaries in hyperbolic orbits. Orbital elements and
functions of the parametric solution are obtained in terms of the conserved
orbital energy and angular momentum in both Arnowitt-Deser-Misner type and
modified harmonic coordinates. Elegant checks are provided that include a
modified analytic continuation prescription to obtain our independent
hyperbolic parametric solution from its eccentric version. A prescription to
model gravitational wave polarization states for hyperbolic compact binaries
experiencing 3.5PN-accurate orbital motion is presented that employs our
3PN-accurate parametric solution
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