Enrico Barausse, Alessandra Buonanno, Alexandre Le Tiec
Using the main result of a companion paper, in which the binding energy of a
circular-orbit non-spinning compact binary system is computed at leading-order
beyond the test-particle approximation, the exact expression of the
effective-one-body (EOB) metric component $g^\text{eff}_{tt}$ is obtained
through first order in the mass ratio. Combining these results with the recent
gravitational self-force calculation of the periastron advance for circular
orbits in the Schwarzschild geometry, the EOB metric component
$g^\text{eff}_{rr}$ is also determined at linear order in the mass ratio. These
results assume that the mapping between the real and effective Hamiltonians at
the second and third post-Newtonian (PN) orders holds at all PN orders. Our
findings also confirm the advantage of resumming the PN dynamics around the
test-particle limit if the goal is to obtain a flexible model that can smoothly
connect the test-mass and equal-mass limits.
View original:
http://arxiv.org/abs/1111.5610
No comments:
Post a Comment