5 research outputs found
Gravitational waves from inspiralling compact binaries: Energy flux to third post-Newtonian order
The multipolar-post-Minkowskian approach to gravitational radiation is
applied to the problem of the generation of waves by the compact binary
inspiral. We investigate specifically the third post-Newtonian (3PN)
approximation in the total energy flux. The new results are the computation of
the mass quadrupole moment of the binary to the 3PN order, and the current
quadrupole and mass octupole to the 2PN order. Wave tails and tails of tails in
the far zone are included up to the 3.5PN order. The recently derived 3PN
equations of binary motion are used to compute the time-derivatives of the
moments. We find perfect agreement to the 3.5PN order with perturbation
calculations of black holes in the test-mass limit for one body. Technical
inputs in our computation include a model of point particles for describing the
compact objects, and the Hadamard self-field regularization. Because of a
physical incompleteness of the Hadamard regularization at the 3PN order, the
energy flux depends on one unknown physical parameter, which is a combination
of a parameter \lambda in the equations of motion, and a new parameter \theta
coming from the quadrupole moment.Comment: 69 pages, version which includes the correction of an Erratum to be
published in Phys. Rev. D (2005
Gravitational-Wave Inspiral of Compact Binary Systems to 7/2 Post-Newtonian Order
The inspiral of compact binaries, driven by gravitational-radiation reaction,
is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole
radiation. We outline the derivation of the 3.5PN-accurate binary's
center-of-mass energy and emitted gravitational flux. The analysis consistently
includes the relativistic effects in the binary's equations of motion and
multipole moments, as well as the contributions of tails, and tails of tails,
in the wave zone. However the result is not fully determined because of some
physical incompleteness, present at the 3PN order, of the model of
point-particle and the associated Hadamard-type self-field regularization. The
orbital phase, whose prior knowledge is crucial for searching and analyzing the
inspiral signal, is computed from the standard energy balance argument.Comment: 12 pages, version which includes the correction of an Erratum to be
published in Phys. Rev. D (2005