The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

Details The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

1999-06-23

arxiv.org/abs/gr-qc/9906092v1

Phys.Rev.D60:124003,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 9 pages, to be submitted to Physical Review D

Scientific paper

10.1103/PhysRevD.60.124003

Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the time-symmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare masses in both solutions, are found to differ from each other at the third post-Newtonian approximation. By shifting the position variables of the black holes the post-Newtonian expansions of the three metrics can be made to coincide up to the fifth post-Newtonian order resulting in identical static Hamiltonians up the third post-Newtonian approximation. The calculations shed light on previously performed binary point-mass calculations at the third post-Newtonian approximation.

Affiliated with

Also associated with

No associations

Rating

The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part 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 binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-28847