Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation

Details Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation

1999-12-21

arxiv.org/abs/gr-qc/9912092v1

Phys.Rev.D62:044024,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX, 21 pages, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.044024

We extract all the invariants (i.e. all the functions which do not depend on the choice of phase-space coordinates) of the dynamics of two point-masses, at the third post-Newtonian (3PN) approximation of general relativity. We start by showing how a contact transformation can be used to reduce the 3PN higher-order Hamiltonian derived by Jaranowski and Sch\"afer to an ordinary Hamiltonian. The dynamical invariants for general orbits (considered in the center-of-mass frame) are then extracted by computing the radial action variable $\oint{p_r}dr$ as a function of energy and angular momentum. The important case of circular orbits is given special consideration. We discuss in detail the plausible ranges of values of the two quantities $\oms$, $\omk$ which parametrize the existence of ambiguities in the regularization of some of the divergent integrals making up the Hamiltonian. The physical applications of the invariant functions derived here (e.g. to the determination of the location of the last stable circular orbit) are left to subsequent work.

Affiliated with

Also associated with

No associations

Rating

Dynamical invariants for general relativistic two-body systems at the third 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 Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44091