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Gravitational Radiation Capture between Unequal Mass Black Holes | | Yeong-Bok Bae
; Hyung Mok Lee
; Gungwon Kang
; Jakob Hansen
; | | Date: |
6 Jan 2017 | | Abstract: | The gravitational radiation capture between unequal mass black holes without
spins has been investigated with numerical relativistic simulations, and the
results are compared with the Post-Newtonian (PN) approximations. We adopt the
parabolic approximation which assumes that the gravitational wave radiation
from a weakly hyperbolic orbit is the same as that from the parabolic orbit
having the same pericenter distance. Using the radiated energies from the
parabolic orbit simulations, we have obtained the impact parameters ($b$) of
the gravitational radiation captures for weakly hyperbolic orbits as a function
of initial energy. The most energetic encounters occur around the boundary
between the direct merging and the fly-by orbits, and could emit several
percent of the total ADM initial energy even from such fly-by orbits. Energy
and angular momentum radiated in the case of unequal mass black holes are
smaller than those of equal mass black holes at the same initial orbital
angular momentum provided that their total masses are the same. We show that
the agreement for impact parameters between the PN approximation and the
numerical relativity begins to break down as encounter becomes very close
($it{e.g.}$, $b lesssim 100$ M), and that disagreement becomes more
conspicuous at higher mass ratios. For instance, the impact parameters could
differ over $50\%$ from those in the PN approximation if the impact parameter
is $blesssim30$ M for the mass ratio of $m_{1}/m_{2}=16$. | | Source: | arXiv, 1701.1548 | | Services: | Forum | Review | PDF | Favorites | |
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