The dynamics of precessing binary black holes using the post-Newtonian approximation

Details The dynamics of precessing binary black holes using the post-Newtonian approximation The dynamics of precessing binary black holes using the post-Newtonian approximation

2004-07-25

arxiv.org/abs/gr-qc/0407091v2

Phys.Rev.D71:024027,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 26 figures

Scientific paper

10.1103/PhysRevD.71.024027

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass monopole/spin-induced quadrupole interaction terms. In the case of both quasi-circular and eccentric orbits, we search for the presence of chaos (using the method of Lyapunov exponents) for a large variety of initial conditions. For quasi-circular orbits, we find no chaotic behavior for black holes with total mass 10 - 40 solar masses when initially at a separation corresponding to a Newtonian gravitational-wave frequency less than 150 Hz. Only for rather small initial radial distances, for which spin-spin induced oscillations in the radial separation are rather important, do we find chaotic solutions, and even then they are rare. Moreover, these chaotic quasi-circular orbits are of questionable astrophysical significance, since they originate from direct parametrization of the equations of motion rather than from widely separated binaries evolving to small separations under gravitational radiation reaction. In the case of highly eccentric orbits, which for ground-based interferometers are not astrophysically favored, we again find chaotic solutions, but only at pericenters so small that higher order PN corrections, especially higher spin PN corrections, should also be taken into account.

Affiliated with

Also associated with

No associations

Rating

The dynamics of precessing binary black holes using the post-Newtonian approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The dynamics of precessing binary black holes using the post-Newtonian approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dynamics of precessing binary black holes using the post-Newtonian approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-629747