Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-10-25
Class.Quant.Grav. 14 (1997) 237-256
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, IOP macros, 4 postscript figures, to appear in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/14/1/021
Gravitational radiation can be expressed in terms of an infinite series of radiative, symmetric trace-free (STF) multipole moments which can be connected to the behavior of the source. We consider a truncated model for gravitational radiation from binary systems in which each STF mass and current moment of order l is given by the lowest-order, Newtonian-like l-pole moment of the orbiting masses; we neglect post-Newtonian corrections to each STF moment. Specializing to orbits which are circular (apart from the radiation-induced inspiral), we find an explicit infinite series for the energy flux in powers of $v/c$, where v is the orbital velocity. We show that the series converges for all values $v/c < 2/e$ when one mass is much smaller than the other, and $v/c < 4/e$ for equal masses,where e is the base of natural logarithms. These values include all physically relevant values for compact binary inspiral. This convergence cannot indicate whether or not the full series (obtained from the exact moments) will converge. But if the full series does not converge, our analysis shows that this failure to converge does not originate from summing over the Newtonian part of the multipole moments.
Leonard Stephen W.
Poisson Eric
Simone Liliana E.
Will Clifford M.
No associations
LandOfFree
Gravitational waves from binary systems in circular orbits: Does the post-Newtonian expansion converge? 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 Gravitational waves from binary systems in circular orbits: Does the post-Newtonian expansion converge?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravitational waves from binary systems in circular orbits: Does the post-Newtonian expansion converge? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-209622